Finding the Fourth Proportional to 82.54, 123.82 and 24.76

Step by Step Solution

1. Step 1: Write the proportion equation
   82.54 : 123.82 = 24.76 : x
2. Step 2: Convert to fraction form
   82.54/123.82 = 24.76/x
3. Step 3: Cross multiply
   82.54x = 123.82 × 24.76
4. Step 4: Simplify right side
   82.54x = 3,065.32
5. Step 5: Solve for x
   x = 3,065.32/82.54
6. Step 6: Final answer
   x = 37.14