Concept:
Ionic radius depends on ionic charge and electronic configuration. Generally, higher positive charge pulls electrons more strongly and produces a smaller ionic radius.
Step 1: Compare charges.
The ions given are:
\[
Na^+,\ Mg^{2+},\ Al^{3+},\ Si^{4+}
\]
Step 2: Effect of increasing charge.
As positive charge increases, the nucleus attracts the electron cloud more strongly.
\[
Na^+>Mg^{2+}>Al^{3+}>Si^{4+}
\]
in terms of ionic radius.
Step 3: Identify least radius.
Thus, \(Si^{4+}\) has the least ionic radius among the given ions.
\[
\therefore \text{Correct Answer is (C)}
\]