Step 1: Understand the reaction with hot acidified \(KMnO_4\).
Hot acidified potassium permanganate causes oxidative cleavage of carbon-carbon double bonds.
In cyclic alkenes, cleavage of the double bond opens the ring and forms a dicarboxylic acid.
Step 2: Identify the product required.
The product given is succinic acid:
\[
HOOC-CH_2-CH_2-COOH
\]
Succinic acid contains four carbon atoms.
Step 3: Select the cyclic alkene that gives succinic acid.
Cyclobutene has four carbon atoms in a ring:
\[
C_4H_6
\]
On oxidative cleavage with hot acidified \(KMnO_4\), cyclobutene ring opens to give:
\[
HOOC-CH_2-CH_2-COOH
\]
This product is succinic acid.
Step 4: Check other options.
Cyclopentene gives glutaric acid because it has five carbon atoms.
Cyclopropene gives malonic acid because it has three carbon atoms.
2-Butene gives acetic acid on oxidative cleavage, not succinic acid.
Step 5: Final conclusion.
Therefore, the compound \(X\) is
\[
\boxed{\text{Cyclobutene}}
\]