Swapping a Kohler command pro 27hp to Kawasaki fh721v

I'm having trouble wiring the Kawasaki engine after swapping it into my Bobcat ProCat 52-inch (942521H). The Kohler engine originally had blue, green, yellow/black, and white wires, while the Kawasaki has black, red, and green wires.

I have the solenoid installed but am unsure which wire is for the ignition key to actually make the mower turn over. Also, I need help figuring out where the other wires should connect.

Any guidance would be appreciated. Thank you!