Four friends, Alice, Bob, Carol, and David, play a counting game. Alice says the first number ($1$), then Bob says the next two numbers ($2,3$), then Carol says the next three numbers ($4,5,6$), then David says the next four numbers ($7,8,9,10$). The process continues, rotating through the four friends in order (Alice, Bob, Carol, David), with each person saying one more number than the previous person did. What is the $1000$th number said by Carol?