Finding the Fourth Proportional to 10,459.96, 14,435.04 and 5,744.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.96 : 14,435.04 = 5,744.55 : x
2. Step 2: Convert to fraction form
   10,459.96/14,435.04 = 5,744.55/x
3. Step 3: Cross multiply
   10,459.96x = 14,435.04 × 5,744.55
4. Step 4: Simplify right side
   10,459.96x = 82,922,736.86
5. Step 5: Solve for x
   x = 82,922,736.86/10,459.96
6. Step 6: Final answer
   x = 7,927.63