Step 1: Recall what controls $S_N1$.
In an $S_N1$ reaction, the slow step makes a carbocation. So the reaction is faster when the carbocation formed is more stable.
Step 2: Recall carbocation stability.
Carbocation stability goes tertiary greater than secondary greater than primary. More alkyl groups or resonance make the carbocation more stable.
Step 3: Link stability to rate.
A substrate that makes a more stable carbocation reacts faster by $S_N1$. So we rank the substrates by the stability of their carbocations.
Step 4: Compare the substrates.
Looking at the three substrates X, Y and Z, Z forms the most stable carbocation, then Y, then X forms the least stable one.
Step 5: Write the rate order.
Since faster $S_N1$ follows more stable carbocation, the reactivity order is Z first, then Y, then X.
Step 6: State the answer.
So the $S_N1$ reactivity order is Z greater than Y greater than X. \[ \boxed{Z > Y > X} \]