To solve the equation 4.72(x−6.56)=10.4 , the first step is to reverse the multiplication by dividing by 4.72. After dividing by 4.72, what number should be added to both sides?

To reverse the multiplication by dividing by 4.72, we should divide both sides of the equation by 4.72.

So, the equation becomes:
(x - 6.56) = 10.4 / 4.72

Now, we need to find the number that should be added to both sides to isolate x.

Let's calculate the division on the right-hand side:
10.4 / 4.72 = 2.203389830508474

Therefore, we should add 6.56 to both sides of the equation to isolate x.

Final answer: 2.203389830508474 + 6.56 = 8.763389830508474