Find 4 consecutive integers whose sum is 17798.

The four numbers will each be about 1/4 of 17798, which is 4449.5. Take two numbers on each side of 4449.5 and we have 4448, 4449, 4450, and 4451.

Algebraically, let the numbers be *x*, *x* + 1, *x* + 2, and *x* + 3. Then we can write the equation *x* + (*x* + 1) + (*x* + 2) + (*x* + 3) = 4*x* + 6 = 17798, and go from there.