Finding the Fourth Proportional to 10,464.52, 14,441.02 and 5,748.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.52 : 14,441.02 = 5,748.80 : x
2. Step 2: Convert to fraction form
   10,464.52/14,441.02 = 5,748.80/x
3. Step 3: Cross multiply
   10,464.52x = 14,441.02 × 5,748.80
4. Step 4: Simplify right side
   10,464.52x = 83,018,535.78
5. Step 5: Solve for x
   x = 83,018,535.78/10,464.52
6. Step 6: Final answer
   x = 7,933.33