Finding the Fourth Proportional to 10,464.02, 14,440.33 and 5,748.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.02 : 14,440.33 = 5,748.30 : x
2. Step 2: Convert to fraction form
   10,464.02/14,440.33 = 5,748.30/x
3. Step 3: Cross multiply
   10,464.02x = 14,440.33 × 5,748.30
4. Step 4: Simplify right side
   10,464.02x = 83,007,348.94
5. Step 5: Solve for x
   x = 83,007,348.94/10,464.02
6. Step 6: Final answer
   x = 7,932.64