Finding the Fourth Proportional to 82.52, 123.77 and 34.42

Step by Step Solution

1. Step 1: Write the proportion equation
   82.52 : 123.77 = 34.42 : x
2. Step 2: Convert to fraction form
   82.52/123.77 = 34.42/x
3. Step 3: Cross multiply
   82.52x = 123.77 × 34.42
4. Step 4: Simplify right side
   82.52x = 4,260.52
5. Step 5: Solve for x
   x = 4,260.52/82.52
6. Step 6: Final answer
   x = 51.63