Finding the Fourth Proportional to 31,404.21, 47,106.42 and 7,711.86

Step by Step Solution

1. Step 1: Write the proportion equation
   31,404.21 : 47,106.42 = 7,711.86 : x
2. Step 2: Convert to fraction form
   31,404.21/47,106.42 = 7,711.86/x
3. Step 3: Cross multiply
   31,404.21x = 47,106.42 × 7,711.86
4. Step 4: Simplify right side
   31,404.21x = 363,278,116.14
5. Step 5: Solve for x
   x = 363,278,116.14/31,404.21
6. Step 6: Final answer
   x = 11,567.82