I haven't double checked this - first one I came to.....
(from
http://www.spacetoday.org/SolSys/Jup...iterMoons.html )
"Amalthea was the last moon to be discovered by direct visual observation — as opposed to photography — when it was spotted in 1892 by Edward Emerson Barnard using the 36 inch telescope at Lick Observatory on Mount Hamilton in California."
Amalthea was the next moon discovered (ie No. V) after the Gallilean moons. Not sure of the quality of the optics, but my guess is most amateurs around here would swap their gear in a second for a bite of that cherry