Finding the Fourth Proportional to 82.32, 113.72 and 65.91

Step by Step Solution

1. Step 1: Write the proportion equation
   82.32 : 113.72 = 65.91 : x
2. Step 2: Convert to fraction form
   82.32/113.72 = 65.91/x
3. Step 3: Cross multiply
   82.32x = 113.72 × 65.91
4. Step 4: Simplify right side
   82.32x = 7,494.96
5. Step 5: Solve for x
   x = 7,494.96/82.32
6. Step 6: Final answer
   x = 91.05