Finding the Fourth Proportional to 10,491.65, 14,478.50 and 5,711.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.65 : 14,478.50 = 5,711.57 : x
2. Step 2: Convert to fraction form
   10,491.65/14,478.50 = 5,711.57/x
3. Step 3: Cross multiply
   10,491.65x = 14,478.50 × 5,711.57
4. Step 4: Simplify right side
   10,491.65x = 82,694,937.69
5. Step 5: Solve for x
   x = 82,694,937.69/10,491.65
6. Step 6: Final answer
   x = 7,881.98