Finding the Fourth Proportional to 10,459.81, 14,434.64 and 5,744.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.81 : 14,434.64 = 5,744.20 : x
2. Step 2: Convert to fraction form
   10,459.81/14,434.64 = 5,744.20/x
3. Step 3: Cross multiply
   10,459.81x = 14,434.64 × 5,744.20
4. Step 4: Simplify right side
   10,459.81x = 82,915,401.28
5. Step 5: Solve for x
   x = 82,915,401.28/10,459.81
6. Step 6: Final answer
   x = 7,927.04