The newer Ferris Z3X uses Hydro-Gear ZT4400 transaxles. If that’s what your particular mower is equipped with then, you can use synthetic or conventional 20W50 or 15W50 synthetic. 177 to 120 ounces per side.
https://www.hydro-gear.com/wp-content/uploads/2023/03/BLN-0081_4400_P6.pdf