Most tractor rear tires will run between 8 and 12 PSI regardless of filled with water or all air. You need to adjust it down till the tire has a full tread bar setting on the ground with the heaviest equipment loaded on it that you will have. This will give you the best traction and ride. They side wall will show a little bit of flexing or buldge at the ground contact point just like your radial car tires do. You can easily check the contact area by driving thru a wet concrete surface and see how much of the tire is wetted. You can see the same thing if you wet the tires and drive thru dry dirt and look at the treads. The whole bar tread should be covered with dust.
Adjust the front tires similar, but if you have a loader, they will require much more air to keep them from rolling off the rim with a loader full. I think my Yanmar takes about 28 PSI in the front. You can easily tell if the front is underinflated by watching the tires in a turn. If they are trying to roll under the rim, you are low on pressure. Just dont exceed the max pressure printed on the tire.
Most tractor rears will come over-inflated when shipping to keep them nice and tight on the tie down. I checked my LS tractor and it had 22 PSI in the rears. I reduced it to 12 and it could use a bit more to get full tread contact.