Not sure exactly what you are wanting but heres what I think
X Axis
CPR = 1000 X 4 = 4000 per motor rev
Gearbox is 10:1 so motor rotates 10 times for one output rev so that is 4,000 steps per output rev
3191.931756 steps are needed to move 1 inch so 4,000/319.1931756 = 1.25316inch per rev that the axis moves per rev so divide by Pi and you have the dia which is 0.399 inch.
Y Axis
Same encoder so
Gearbox is 10:1 so motor rotates 10 times for one output rev so that is 4,000 steps per output rev
2491.704346 steps are needed to move 1 inch so 4,000/2491.704346 = 1.605 inch per rev, divide by Pi and you get 0.511 inch
Z Axis
Same encoder so still 4000 per rev of motor, no gearing so again 4000 per rev of screw. 10,040.73425 per inch so 4000/10,040.73425 = 0.398 pitch screw
Think thats right
Hood