Finding the Fourth Proportional to 10,315.71, 14,234.85 and 5,778.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,315.71 : 14,234.85 = 5,778.32 : x
2. Step 2: Convert to fraction form
   10,315.71/14,234.85 = 5,778.32/x
3. Step 3: Cross multiply
   10,315.71x = 14,234.85 × 5,778.32
4. Step 4: Simplify right side
   10,315.71x = 82,253,447.28
5. Step 5: Solve for x
   x = 82,253,447.28/10,315.71
6. Step 6: Final answer
   x = 7,973.61