Finding the Fourth Proportional to 59.52, 82.14 and 34.62

Step by Step Solution

1. Step 1: Write the proportion equation
   59.52 : 82.14 = 34.62 : x
2. Step 2: Convert to fraction form
   59.52/82.14 = 34.62/x
3. Step 3: Cross multiply
   59.52x = 82.14 × 34.62
4. Step 4: Simplify right side
   59.52x = 2,843.69
5. Step 5: Solve for x
   x = 2,843.69/59.52
6. Step 6: Final answer
   x = 47.78