Finding the Fourth Proportional to 9,596.50, 13,243.17 and 5,617.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,596.50 : 13,243.17 = 5,617.42 : x
2. Step 2: Convert to fraction form
   9,596.50/13,243.17 = 5,617.42/x
3. Step 3: Cross multiply
   9,596.50x = 13,243.17 × 5,617.42
4. Step 4: Simplify right side
   9,596.50x = 74,392,448.02
5. Step 5: Solve for x
   x = 74,392,448.02/9,596.50
6. Step 6: Final answer
   x = 7,752.04