the balanced chemical equation that you have there
4Al + 3O2 → 2Al2O3
means that the mole ratio is 3 mol O2: 2 mol Al2O3
from there then you can just scale it over
5.3 mol Al2O3 x 3 mol O2 / 2 mol Al2O3 = 7.95 mol O2
meaning that 7.95 moles of oxygen are needed to produce 5.3 moles of aluminum oxide