We are given the following configuration:
Where:

Since we are given the force to set the body in motion this means that the pulling force is equal to the friction force, therefore, we have:

The friction force is given by the following formula:

Substituting we get:

Now, we solve for the normal force by dividing both sides by the coefficient of friction:

Now, we plug in the values:

Solving the operations:

Therefore, the normal force is 678.1 Newtons.