Finding the Fourth Proportional to 102.82, 141.83 and 65.91

Step by Step Solution

1. Step 1: Write the proportion equation
   102.82 : 141.83 = 65.91 : x
2. Step 2: Convert to fraction form
   102.82/141.83 = 65.91/x
3. Step 3: Cross multiply
   102.82x = 141.83 × 65.91
4. Step 4: Simplify right side
   102.82x = 9,348.02
5. Step 5: Solve for x
   x = 9,348.02/102.82
6. Step 6: Final answer
   x = 90.92