Finding the Fourth Proportional to 82.49, 123.71 and 24.71

Step by Step Solution

1. Step 1: Write the proportion equation
   82.49 : 123.71 = 24.71 : x
2. Step 2: Convert to fraction form
   82.49/123.71 = 24.71/x
3. Step 3: Cross multiply
   82.49x = 123.71 × 24.71
4. Step 4: Simplify right side
   82.49x = 3,056.13
5. Step 5: Solve for x
   x = 3,056.13/82.49
6. Step 6: Final answer
   x = 37.05