Finding the Fourth Proportional to 82.29, 123.42 and 51.86

Step by Step Solution

1. Step 1: Write the proportion equation
   82.29 : 123.42 = 51.86 : x
2. Step 2: Convert to fraction form
   82.29/123.42 = 51.86/x
3. Step 3: Cross multiply
   82.29x = 123.42 × 51.86
4. Step 4: Simplify right side
   82.29x = 6,400.56
5. Step 5: Solve for x
   x = 6,400.56/82.29
6. Step 6: Final answer
   x = 77.78