Finding the Fourth Proportional to 9,433.20, 13,019.12 and 5,456.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,433.20 : 13,019.12 = 5,456.64 : x
2. Step 2: Convert to fraction form
   9,433.20/13,019.12 = 5,456.64/x
3. Step 3: Cross multiply
   9,433.20x = 13,019.12 × 5,456.64
4. Step 4: Simplify right side
   9,433.20x = 71,040,650.96
5. Step 5: Solve for x
   x = 71,040,650.96/9,433.20
6. Step 6: Final answer
   x = 7,530.92