Dear Ramakrishna,

As you mention you are in BC-d category according to your rank 4476 in APICET you can get admission in some of the reputed colleges. Here's the best pick of colleges for you -

1) Madanapalle Institute of Technology and Science, Chittoor

2) Prasad v. Potluri Siddharth Institute of technology, PVPSIT, VIJAYAWADA

3) Pydah college of engineering and technology, Visakhapatnam

4) Rajeev Gandhi memorial college of engineering and technology nandyal, Kurnool

5) SRK Institute of Technology, Vijayawada 

Hope you get into the best college