Step 1: Higher charge (SO4 2-, C2O4 2-) means more polarisable, ruled out first.
Step 2: Between NO3- and ClO4-: HClO4 is a very strong acid, so ClO4- is an extremely weak base, holding electron density tightly.
Step 3: Weak base = least polarisable.
\[\boxed{ClO_4^-}\]