Finding the Fourth Proportional to 10,493.71, 14,481.57 and 5,713.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,493.71 : 14,481.57 = 5,713.90 : x
2. Step 2: Convert to fraction form
   10,493.71/14,481.57 = 5,713.90/x
3. Step 3: Cross multiply
   10,493.71x = 14,481.57 × 5,713.90
4. Step 4: Simplify right side
   10,493.71x = 82,746,242.82
5. Step 5: Solve for x
   x = 82,746,242.82/10,493.71
6. Step 6: Final answer
   x = 7,885.32