Finding the Fourth Proportional to 10,491.12, 14,477.67 and 5,775.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.12 : 14,477.67 = 5,775.30 : x
2. Step 2: Convert to fraction form
   10,491.12/14,477.67 = 5,775.30/x
3. Step 3: Cross multiply
   10,491.12x = 14,477.67 × 5,775.30
4. Step 4: Simplify right side
   10,491.12x = 83,612,887.55
5. Step 5: Solve for x
   x = 83,612,887.55/10,491.12
6. Step 6: Final answer
   x = 7,969.87