Step 1: Recall the relative basic strength of hydroxides.
Aluminium hydroxide is amphoteric and hence the weakest base.
Ammonium hydroxide is a weak base.
Magnesium hydroxide is a weak base but stronger than ammonium hydroxide.
Sodium hydroxide is a strong base.
Step 2: Arrange from weakest to strongest base.
\[
\text{Al(OH)}_3<\text{NH}_4\text{OH}<\text{Mg(OH)}_2<\text{NaOH}
\]
Step 3: Write the corresponding numbers.
\[
3 \; 4 \; 2 \; 1
\]
Step 4: Match with the given options.
The correct option is \(\boxed{\text{(C)}}\).