Finding the Fourth Proportional to 9,189.12, 12,681.12 and 5,650.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,189.12 : 12,681.12 = 5,650.24 : x
2. Step 2: Convert to fraction form
   9,189.12/12,681.12 = 5,650.24/x
3. Step 3: Cross multiply
   9,189.12x = 12,681.12 × 5,650.24
4. Step 4: Simplify right side
   9,189.12x = 71,651,371.47
5. Step 5: Solve for x
   x = 71,651,371.47/9,189.12
6. Step 6: Final answer
   x = 7,797.41