Finding the Fourth Proportional to 82.98, 123.82 and 76.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82.98 : 123.82 = 76.50 : x
2. Step 2: Convert to fraction form
   82.98/123.82 = 76.50/x
3. Step 3: Cross multiply
   82.98x = 123.82 × 76.50
4. Step 4: Simplify right side
   82.98x = 9,472.04
5. Step 5: Solve for x
   x = 9,472.04/82.98
6. Step 6: Final answer
   x = 114.15