Finding the Fourth Proportional to 31,451.59, 47,178.69 and 10,106.47

Step by Step Solution

1. Step 1: Write the proportion equation
   31,451.59 : 47,178.69 = 10,106.47 : x
2. Step 2: Convert to fraction form
   31,451.59/47,178.69 = 10,106.47/x
3. Step 3: Cross multiply
   31,451.59x = 47,178.69 × 10,106.47
4. Step 4: Simplify right side
   31,451.59x = 476,809,728.70
5. Step 5: Solve for x
   x = 476,809,728.70/31,451.59
6. Step 6: Final answer
   x = 15,160.12