Finding the Fourth Proportional to 10,463.82, 14,440.17 and 5,748.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,463.82 : 14,440.17 = 5,748.20 : x
2. Step 2: Convert to fraction form
   10,463.82/14,440.17 = 5,748.20/x
3. Step 3: Cross multiply
   10,463.82x = 14,440.17 × 5,748.20
4. Step 4: Simplify right side
   10,463.82x = 83,004,912.99
5. Step 5: Solve for x
   x = 83,004,912.99/10,463.82
6. Step 6: Final answer
   x = 7,932.56