Finding the Fourth Proportional to 10,459.69, 14,434.47 and 5,744.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.69 : 14,434.47 = 5,744.07 : x
2. Step 2: Convert to fraction form
   10,459.69/14,434.47 = 5,744.07/x
3. Step 3: Cross multiply
   10,459.69x = 14,434.47 × 5,744.07
4. Step 4: Simplify right side
   10,459.69x = 82,912,606.09
5. Step 5: Solve for x
   x = 82,912,606.09/10,459.69
6. Step 6: Final answer
   x = 7,926.87