Finding the Fourth Proportional to 10,491.47, 14,478.24 and 5,775.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.47 : 14,478.24 = 5,775.72 : x
2. Step 2: Convert to fraction form
   10,491.47/14,478.24 = 5,775.72/x
3. Step 3: Cross multiply
   10,491.47x = 14,478.24 × 5,775.72
4. Step 4: Simplify right side
   10,491.47x = 83,622,231.45
5. Step 5: Solve for x
   x = 83,622,231.45/10,491.47
6. Step 6: Final answer
   x = 7,970.50