Concept:
The strength of carboxylic acids increases with the presence of electron-withdrawing groups.
These groups stabilize the conjugate base through the inductive effect (\(-I\) effect).
Chlorine is a strong electron-withdrawing group.
Step 1: Compare the number of chlorine atoms.
\[
\text{CH}_3\text{COOH}
\]
Acetic acid has no electron-withdrawing substituents.
\[
\text{ClCH}_2\text{COOH}
\]
Chloroacetic acid has one chlorine atom.
\[
\text{Cl}_2\text{CHCOOH}
\]
Dichloroacetic acid has two chlorine atoms.
\[
\text{Cl}_3\text{CCOOH}
\]
Trichloroacetic acid has three chlorine atoms.
Step 2: Greater the number of chlorine atoms, stronger the \(-I\) effect and higher the acidity.
Thus the acidity order is
\[
\text{Trichloroacetic acid}>\text{Dichloroacetic acid}>\text{Chloroacetic acid}>\text{Acetic acid}
\]
Step 3: Final result.
\[
\boxed{\text{Trichloroacetic acid}}
\]