Finding the Fourth Proportional to 9,468.16, 13,059.84 and 5,744.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,468.16 : 13,059.84 = 5,744.32 : x
2. Step 2: Convert to fraction form
   9,468.16/13,059.84 = 5,744.32/x
3. Step 3: Cross multiply
   9,468.16x = 13,059.84 × 5,744.32
4. Step 4: Simplify right side
   9,468.16x = 75,019,900.11
5. Step 5: Solve for x
   x = 75,019,900.11/9,468.16
6. Step 6: Final answer
   x = 7,923.39