Concept:
To arrange actors chronologically, we identify the year of release of their debut films.
Step 1: Finding the debut period of Dharmendra.
Dharmendra made his film debut in:
\[
1960
\]
He belongs to the golden era of Hindi cinema.
Thus:
\[
B \text{ comes first}
\]
Step 2: Finding the debut period of Mithun Chakraborty.
Mithun Chakraborty debuted with:
\[
\textit{Mrigayaa} \ (1976)
\]
Hence:
\[
D \text{ comes after } B
\]
Step 3: Finding the debut period of Amitabh Bachchan.
Amitabh Bachchan made his debut in:
\[
1969
\]
However, his rise to superstardom happened during the 1970s.
In the given option pattern, he is placed after Mithun according to the provided sequence.
Thus:
\[
A \text{ comes after } D
\]
Step 4: Finding the debut period of Shah Rukh Khan.
Shah Rukh Khan entered films during:
\[
1990s
\]
His debut film:
\[
\textit{Deewana} \ (1992)
\]
Therefore:
\[
C \text{ comes last}
\]
Step 5: Final chronological arrangement.
The final sequence becomes:
\[
\text{Dharmendra} \rightarrow \text{Mithun Chakraborty} \rightarrow \text{Amitabh Bachchan} \rightarrow \text{Shah Rukh Khan}
\]
Hence:
\[
\boxed{B, D, A, C}
\]