Finding the Fourth Proportional to 10,459.71, 14,434.70 and 5,744.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.71 : 14,434.70 = 5,744.30 : x
2. Step 2: Convert to fraction form
   10,459.71/14,434.70 = 5,744.30/x
3. Step 3: Cross multiply
   10,459.71x = 14,434.70 × 5,744.30
4. Step 4: Simplify right side
   10,459.71x = 82,917,146.32
5. Step 5: Solve for x
   x = 82,917,146.32/10,459.71
6. Step 6: Final answer
   x = 7,927.29