The Tempest by William Shakespeare was written around \(1610-1611\).
Prometheus Unbound by P.B. Shelley was published in \(1820\).
The Birthday Party by Harold Pinter was first performed in \(1958\).
Betrayal by Harold Pinter was first performed in \(1978\).
Therefore, the chronological order is:
\[
\textit{The Tempest} \rightarrow \textit{Prometheus Unbound} \rightarrow \textit{The Birthday Party} \rightarrow \textit{Betrayal}.
\]
So the correct sequence is:
\[
A,\ D,\ B,\ C.
\]