Finding the Fourth Proportional to 31,978.17, 47,967.63 and 9,791.76

Step by Step Solution

1. Step 1: Write the proportion equation
   31,978.17 : 47,967.63 = 9,791.76 : x
2. Step 2: Convert to fraction form
   31,978.17/47,967.63 = 9,791.76/x
3. Step 3: Cross multiply
   31,978.17x = 47,967.63 × 9,791.76
4. Step 4: Simplify right side
   31,978.17x = 469,687,520.73
5. Step 5: Solve for x
   x = 469,687,520.73/31,978.17
6. Step 6: Final answer
   x = 14,687.75