Finding the Fourth Proportional to 10,464.24, 14,440.20 and 5,748.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.24 : 14,440.20 = 5,748.42 : x
2. Step 2: Convert to fraction form
   10,464.24/14,440.20 = 5,748.42/x
3. Step 3: Cross multiply
   10,464.24x = 14,440.20 × 5,748.42
4. Step 4: Simplify right side
   10,464.24x = 83,008,334.48
5. Step 5: Solve for x
   x = 83,008,334.48/10,464.24
6. Step 6: Final answer
   x = 7,932.57