Finding the Fourth Proportional to 82.42, 123.55 and 51.92

Step by Step Solution

1. Step 1: Write the proportion equation
   82.42 : 123.55 = 51.92 : x
2. Step 2: Convert to fraction form
   82.42/123.55 = 51.92/x
3. Step 3: Cross multiply
   82.42x = 123.55 × 51.92
4. Step 4: Simplify right side
   82.42x = 6,414.72
5. Step 5: Solve for x
   x = 6,414.72/82.42
6. Step 6: Final answer
   x = 77.83