In a survey of 4,656 people, 3,367 had a car, 2,265 had a pet, 3,619 had a television set, 3,070 had a TV and a car, 1,526 had a TV and a pet, 1,290 had a car and a pet, and 1,176 had a TV, a car, and a pet. How many people had a TV and a pet but did not have a car?

To find the number of people who had a TV and a pet but did not have a car, we subtract the number of people who had a TV, a car, and a pet from the number of people who had a TV and a pet.

Number of people who had a TV and a pet = 1,526
Number of people who had a TV, a car, and a pet = 1,176

Therefore, the number of people who had a TV and a pet but did not have a car = 1,526 - 1,176 = 350. Answer: \boxed{350}.

To find out how many people had a TV and a pet but did not have a car, we can follow these steps:

Step 1: Determine the number of people who had a TV, a car, and a pet.
- From the given information, 1,176 had a TV, a car, and a pet.

Step 2: Determine the number of people who had a TV and a car.
- From the given information, 3,070 had a TV and a car.

Step 3: Determine the number of people who had a car and a pet.
- From the given information, 1,290 had a car and a pet.

Step 4: Determine the total number of people who had a TV and a pet.
- This can be calculated by adding the number of people who had a TV, car, and pet with the number of people who had only a TV and a pet: 1,176 + 1,526 = 2,702.

Step 5: Determine the number of people who had a TV and a pet but not a car.
- Subtract the number of people who had a TV and a car from the total number of people who had a TV and a pet: 2,702 - 3,070 = -368.

Since we can't have a negative number of people, it seems there may be an error or contradiction in the given information. Please double-check the numbers provided or let me know if there's any other way I can assist you.