Finding the Fourth Proportional to 82.32, 123.30 and 65.82

Step by Step Solution

1. Step 1: Write the proportion equation
   82.32 : 123.30 = 65.82 : x
2. Step 2: Convert to fraction form
   82.32/123.30 = 65.82/x
3. Step 3: Cross multiply
   82.32x = 123.30 × 65.82
4. Step 4: Simplify right side
   82.32x = 8,115.61
5. Step 5: Solve for x
   x = 8,115.61/82.32
6. Step 6: Final answer
   x = 98.59