Brawler Dragon Ferocity Power attack Grapple damage question

[Daeth Kilgore]

I have a brawler with 18 strength maintaining a grapple with both hands for damage with dragon ferocity and power attack.

Is my bonus damage modifier?
+8 from strength and dragon ferocity and +3 from power attack?

Info I found.

Brawler
A brawler's unarmed strike is treated as both a manufactured weapon and a natural weapon for the purpose of spells and effects that modify either manufactured weapons or natural weapons.

Dragon Ferocity
Benefit: While using Dragon Style, increase your Strength bonus on unarmed strike damage rolls by an additional one-half your Strength bonus, to a total of double your Strength bonus on the first attack and 1-1/2 times your Strength bonus on the other attacks.

Power Attack
Benefit: You can choose to take a –1 penalty on all melee attack rolls and combat maneuver checks to gain a +2 bonus on all melee damage rolls. This bonus to damage is increased by half (+50%) if you are making an attack with a two-handed weapon, a one handed weapon using two hands, or a primary natural weapon that adds 1-1/2 times your Strength modifier on damage rolls. This bonus to damage is halved (–50%) if you are making an attack with an off-hand weapon or secondary natural weapon.

Grapple Damage
You can inflict damage to your target equal to your unarmed strike, a natural attack, or an attack made with armor spikes or a light or one-handed weapon. This damage can be either lethal or nonlethal.

[Imbicatus]

You gain the 1.5 str bonus from dragon style but you only gain +2 damage from power attack. Monk (and brawler) unarmed strikes are not natural attacks, they are only treated as such for effects that enhance natural attacks. They are neither primary or secondary, and power attack requires a primary natural weapon to gain the improved damage.

[Chess Pwn]

Imbicatus is correct, but other than the the power attack damage being too high it looks correct.

[Daeth Kilgore]

Daeth Kilgore wrote:

I have a brawler with 18 strength maintaining a grapple with both hands for damage with dragon ferocity and power attack.

Is my bonus damage modifier?
+8 from strength and dragon ferocity and +3 from power attack?

Info I found.

Brawler
A brawler's unarmed strike is treated as both a manufactured weapon and a natural weapon for the purpose of spells and effects that modify either manufactured weapons or natural weapons.

Dragon Ferocity
Benefit: While using Dragon Style, increase your Strength bonus on unarmed strike damage rolls by an additional one-half your Strength bonus, to a total of double your Strength bonus on the first attack and 1-1/2 times your Strength bonus on the other attacks.

Power Attack
Benefit: You can choose to take a –1 penalty on all melee attack rolls and combat maneuver checks to gain a +2 bonus on all melee damage rolls. This bonus to damage is increased by half (+50%) if you are making an attack with a two-handed weapon, a one handed weapon using two hands, or a primary natural weapon that adds 1-1/2 times your Strength modifier on damage rolls. This bonus to damage is halved (–50%) if you are making an attack with an off-hand weapon or secondary natural weapon.

Grapple Damage
You can inflict damage to your target equal to your unarmed strike, a natural attack, or an attack made with armor spikes or a light or one-handed weapon. This damage can be either lethal or nonlethal.

Thank you for the help.