Risk neutral Probability calculation - Three step process

Hello - I am trying to calculate Risk neutral probability of three step process

P2.T5. Market Risk Measurement & Management

In page 27 study download, three step binomial tree

I do noticed risk neutral probablities

q= 0.6489

May I kindly request to paste the step by step calculation?

I used this calculation but not able to match "q value"

{946.51(1+5.15%/2) - 975.61} / (970.87-975.61) = 0.9973

Please help me out. Thank you
 
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