Finding the Fourth Proportional to 10,459.89, 14,434.61 and 5,744.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.89 : 14,434.61 = 5,744.07 : x
2. Step 2: Convert to fraction form
   10,459.89/14,434.61 = 5,744.07/x
3. Step 3: Cross multiply
   10,459.89x = 14,434.61 × 5,744.07
4. Step 4: Simplify right side
   10,459.89x = 82,913,381.54
5. Step 5: Solve for x
   x = 82,913,381.54/10,459.89
6. Step 6: Final answer
   x = 7,926.79