Step 1: Understanding the Concept
A salt hydrolyses when at least one of its ions comes from a weak acid or a weak base. Ions from strong acids and strong bases do not react with water.
Step 2: Detailed Explanation
Ammonium nitrate: NH\(_4^+\) comes from a weak base, so it hydrolyses.
Sodium acetate: CH\(_3\)COO\(^-\) comes from a weak acid, so it hydrolyses.
Ammonium cyanide: both ions are weak, so both hydrolyse.
Sodium nitrate: Na\(^+\) is from strong NaOH and NO\(_3^-\) is from strong HNO\(_3\), so neither reacts with water and the solution stays neutral.
Final Answer:
Sodium nitrate is the salt of a strong acid and a strong base, so it does not hydrolyse. This is option (D).
\[ \boxed{\text{Sodium nitrate (D)}} \]