Finding the Fourth Proportional to 17,596.09, 24,282.57 and 9,638.47

Step by Step Solution

1. Step 1: Write the proportion equation
   17,596.09 : 24,282.57 = 9,638.47 : x
2. Step 2: Convert to fraction form
   17,596.09/24,282.57 = 9,638.47/x
3. Step 3: Cross multiply
   17,596.09x = 24,282.57 × 9,638.47
4. Step 4: Simplify right side
   17,596.09x = 234,046,822.47
5. Step 5: Solve for x
   x = 234,046,822.47/17,596.09
6. Step 6: Final answer
   x = 13,301.07