Finding the Fourth Proportional to 31,688.14, 47,548.62 and 16,105.78

Step by Step Solution

1. Step 1: Write the proportion equation
   31,688.14 : 47,548.62 = 16,105.78 : x
2. Step 2: Convert to fraction form
   31,688.14/47,548.62 = 16,105.78/x
3. Step 3: Cross multiply
   31,688.14x = 47,548.62 × 16,105.78
4. Step 4: Simplify right side
   31,688.14x = 765,807,613.02
5. Step 5: Solve for x
   x = 765,807,613.02/31,688.14
6. Step 6: Final answer
   x = 24,167.01