The Prusa i3 runs 2 motors in parallel so I don't see why 4 could be a problem. You will have to use drv8825 drivers with plenty of cooling for 4 steppers and make sure you get motor that don't draw to many amps.
Why don't you just use a single powerful motor with a belt?
Prusa i3 Rework - Ramps 1.4 - E3d Lite6 - Full Graphic LCD Controller