Finding the Fourth Proportional to 10,491.71, 14,478.45 and 5,775.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.71 : 14,478.45 = 5,775.89 : x
2. Step 2: Convert to fraction form
   10,491.71/14,478.45 = 5,775.89/x
3. Step 3: Cross multiply
   10,491.71x = 14,478.45 × 5,775.89
4. Step 4: Simplify right side
   10,491.71x = 83,625,934.57
5. Step 5: Solve for x
   x = 83,625,934.57/10,491.71
6. Step 6: Final answer
   x = 7,970.67