What Power Output is Needed for a Bicyclist to Overcome Drag and Friction?

[makeAwish]

Homework Statement

For a touring bicyclist the drag coefficient C(where f of air = 0.5CApv^2) is 1.04, the frontal area A is 0.462 , and the coefficient of rolling friction is 4.60×10−3. The rider has mass 53.0kg, and her bike has mass 11.1kg.
Note: p is density of air (1.2kg/m^3)

To maintain a speed of 11.7m/s on a level road, what must the rider's power output to the rear wheel be?

The attempt at a solution

Total force = friction force + drag force
Power = total force x velocity = 459.6W

which is not correct.

 

[LowlyPion]

I would calculate it the same way, but with more precision. I got an answer close but possibly enough dissimilar?