I just got through building a PC that will eventualy get to EK around 13th level. Here are the classes I plan to take (based on character level): Ftr 1, Sorcerer 2, Ftr 3, Ftr4, Dragon Disciple 5-12. This then meets the requirements for EK without having to go a bunch of spellcasting classes, and remain an effective fighter.
You could take 2 levels of Sorcerer to get to EK at 12 (I believe my requirements math is right). This is due to Dragon Disciple skipping a couple of +1 to existing spellcasting levels as you progress in the class.
Then once EK is made at 13 (due to requirements needed to cast 3rd level spells) you just keep advancing your fighter prowess as you increase your sorcerer spell casting.
If you take human as the race you can cram in 7 feats when you reach 6th level. The Dragon Disciple is kinda cool class with some neat sorcerer benefits and has high HP for the fighter side.
I hope this plays out well. :)