Finding the Fourth Proportional to 82.50, 123.73 and 31.17

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 123.73 = 31.17 : x
2. Step 2: Convert to fraction form
   82.50/123.73 = 31.17/x
3. Step 3: Cross multiply
   82.50x = 123.73 × 31.17
4. Step 4: Simplify right side
   82.50x = 3,856.05
5. Step 5: Solve for x
   x = 3,856.05/82.50
6. Step 6: Final answer
   x = 46.74