Porter Plumbing's stock had a required return of 14.00% last year, when the risk-free rate was 5.50% and the market risk premium was 4.75%. Then an increase in investor risk aversion caused the market risk premium to rise by 2%. The risk-free rate and the firm's beta remain unchanged. What is the company's new required rate of return?

I don't understand the explanation, how did the individual get 0.9474 and was able to work-out the rest of the solution. I'm not able to follow but would like to learn to find the solution for myself.