$"Moles of iron"$ $=$ $(2.561*g)/(55.85*g*mol^-1)$ $=$ $0.0459*mol$
$"Moles of sulfur"$ $=$ $(2.206*g)/(32.06*g*mol^-1)$ $=$ $0.0688*mol$
If we divide thru by the lower molar quantity, we get, $FeS_(1.5)$. However, by definition, the empirical formula is the simplest WHOLE number that defines constituent in a species, so we double the formula to get WHOLE numbers:
$Fe_2S_3$.