Here is a rough description, it doesn't give you the exact answer but it does provide the bare minimum conceptual understanding that you need to make a start. TLDR: scroll down to "Key points" to get to the point quickly.
All non-inclination controlled geosynchronous objects, starting off at inclination = 0, exhibit an increase in inclination from 0deg to ...
The Deep Impact spacecraft's impactor, matching Tempel 1's inclination of 10.47 degrees upon collision.
The Dawn spacecraft, matching Ceres' inclination of 10.59 degrees.
The NEAR Shoemaker spacecraft, matching 433 Eros' inclination of 10.83 degrees upon landing.
Solar Orbiter is currently beating all of them, at ~14 degrees.