To calculate the empirical formula, we first need to find the moles of each element in the compound.

Moles of Fe = 174.86 g / 55.845 g/mol = 3.132 mol

Moles of O = 75.14 g / 15.999 g/mol = 4.700 mol

Next, we need to find the simplest ratio of moles by dividing each mole value by the smallest mole value.

Moles of Fe / smallest mole value (3.132 mol) = 1

Moles of O / smallest mole value (3.132 mol) = 1.5

Finally, we multiply each mole ratio by the appropriate factor to obtain whole numbers. In this case, we need to multiply by 2 to obtain whole numbers.

Empirical formula = Fe3O4