All the chord shapes are movable, so the shapes work for any four string instrument tuned fourth-third-fourth, like a ukulele, or the first four strings of a guitar.
For each movable chord an attempt was made to find four shapes, each having the root on a different string. This provides the ultimate flexibility in finding chords for an arrangement. It wasn’t always possible, sometimes there are more, sometimes less.
Reading the charts — Instead of dots on the frets, each finger position is represented by a number indicating the role of that note in the chord. For example, the seventh chords have 1, 3, 5, and b7 notes in them.
The X refers to the root, so to find a shape for C7 look for the X7 shapes and position the shape so that the roots are on Cs on the fretboard.
Downloadable PDF — Ukulele Moveable Chord Chart
From the book: Jazz Chords for Baritione Ukulele