On the subject of intonation for an floating bridge, one that you can move gack and forth as in the picture. I find the following described method handy for me.
1. using a fairly accurate measuring device, at the small e string, measure from where the nut meets the fretboard to the 12th fret, write the result down.
2. measure from the 12th fret to where the string crosses the bridge, the measure should be the same as the first. if not, tap the base of the bridge using a small piece of wood like a paint stirer stick in either direction to where needed.
3. Repeat the same measure for the large E string, only for the second part of the measure add approximately 3/16 of an inch (or about 4mm if you are using metrics), this will get you very close to the correct angle of the bridge in relation to the fretboard for intonation, using a tuner then tune to pitch, check by plucking the string at the 12th fret, and pluck at 12th fret harmonic and adjust the bridge until the sounds match. Usually a floating bridge is already made to compensate for the other strings, so all you would need to do is the two e strings adjustments of the bridge. I am sure there are other methods but this works good for me and may be of help to someone else.