Finding the Fourth Proportional to 82.69, 123.88 and 51.76

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 123.88 = 51.76 : x
2. Step 2: Convert to fraction form
   82.69/123.88 = 51.76/x
3. Step 3: Cross multiply
   82.69x = 123.88 × 51.76
4. Step 4: Simplify right side
   82.69x = 6,411.45
5. Step 5: Solve for x
   x = 6,411.45/82.69
6. Step 6: Final answer
   x = 77.54