Finding the Fourth Proportional to 102.82, 141.89 and 59.15

Step by Step Solution

1. Step 1: Write the proportion equation
   102.82 : 141.89 = 59.15 : x
2. Step 2: Convert to fraction form
   102.82/141.89 = 59.15/x
3. Step 3: Cross multiply
   102.82x = 141.89 × 59.15
4. Step 4: Simplify right side
   102.82x = 8,392.79
5. Step 5: Solve for x
   x = 8,392.79/102.82
6. Step 6: Final answer
   x = 81.63