The dwarf spheroidal satellite galaxies of the Milky Way are the most dark-matter-dominated objects known. Their proximity, high dark matter content, and lack of astrophysical backgrounds make them one of the most promising targets for the indirect detection of dark matter via gamma-rays. Indeed, two-year LAT observations of dwarf spheroidal galaxies were able to place tight constraints on the velocity-averaged dark matter annihilation cross section. Here we extend the combined likelihood analysis treatment of local dwarf galaxies to four years of LAT data. This extended analysis includes improved treatments of the LAT instrument and the dark matter distributions of the dwarf galaxies.