Finding the Fourth Proportional to 82.69, 123.91 and 65.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 123.91 = 65.50 : x
2. Step 2: Convert to fraction form
   82.69/123.91 = 65.50/x
3. Step 3: Cross multiply
   82.69x = 123.91 × 65.50
4. Step 4: Simplify right side
   82.69x = 8,116.11
5. Step 5: Solve for x
   x = 8,116.11/82.69
6. Step 6: Final answer
   x = 98.15