For Jupiter's satellites
Orbital period, TJ=1.769 days=1.769×24×60×60 s
Radius of the orbit, RJ=4.22×108m
Mass of Jupiter, MJ=4π2R3JGT2J ...(i)
Now, orbital period of Earth around sun
TE=1 year =365.25×24×60×60s
Orbital radius, RS=1.496×1011m
Mass of sun, MS=4π2R3GT3E ..(ii)
Dividing (ii) by (i)
MSMJ=R3R3J×T2JT2E=(1.496×1011)3(4.22×108)3×(1.769×24×60×60)2(365.25×24×60×60)2=1046
or MJMS=11046≈11000
or MJ=11000MS