Finding the Fourth Proportional to 102.54, 141.71 and 82.83

Step by Step Solution

1. Step 1: Write the proportion equation
   102.54 : 141.71 = 82.83 : x
2. Step 2: Convert to fraction form
   102.54/141.71 = 82.83/x
3. Step 3: Cross multiply
   102.54x = 141.71 × 82.83
4. Step 4: Simplify right side
   102.54x = 11,737.43
5. Step 5: Solve for x
   x = 11,737.43/102.54
6. Step 6: Final answer
   x = 114.47