Future IMO

At International Mathematical Olympiad 2050, there are $8.77\%$ of contestants win gold medal, $15.41\%$ of contestants win silver medal, and $26.05\%$ of contestants win bronze medal. Determine the minimum number of contestants?

Details and assumptions :

Any statistical index is rounded to two decimal places. For example, there are $157$ contestants and $13$ of them are awarded gold medal, we can say that “there are $8.28\%$ of contestants win gold medal” (since $\dfrac{13}{157}\approx 0.0828$ )