Step 1:
Mitakshara was written by:
\[
\boxed{\text{Vijnaneshwara}}
\]
Step 2:
Brihatsamhita is by Varahamihira, while Aryabhatiyam is by Aryabhatta.
Step 3:
Brihaspati is associated with Arthashastra literature.
Step 4:
Hence, the correct sequence is:
\[
A-IV,\; B-I,\; C-II,\; D-III
\]
Thus, the correct answer is:
\[
\boxed{\text{(4)}}
\]