Finding the Fourth Proportional to 42.86, 59.15 and 34.61

Step by Step Solution

1. Step 1: Write the proportion equation
   42.86 : 59.15 = 34.61 : x
2. Step 2: Convert to fraction form
   42.86/59.15 = 34.61/x
3. Step 3: Cross multiply
   42.86x = 59.15 × 34.61
4. Step 4: Simplify right side
   42.86x = 2,046.97
5. Step 5: Solve for x
   x = 2,046.97/42.86
6. Step 6: Final answer
   x = 47.76