Finding the Fourth Proportional to 82.52, 123.78 and 24.74

Step by Step Solution

1. Step 1: Write the proportion equation
   82.52 : 123.78 = 24.74 : x
2. Step 2: Convert to fraction form
   82.52/123.78 = 24.74/x
3. Step 3: Cross multiply
   82.52x = 123.78 × 24.74
4. Step 4: Simplify right side
   82.52x = 3,062.88
5. Step 5: Solve for x
   x = 3,062.88/82.52
6. Step 6: Final answer
   x = 37.12