Finding the Fourth Proportional to 9,538.50, 14,310.24 and 3,615.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.50 : 14,310.24 = 3,615.42 : x
2. Step 2: Convert to fraction form
   9,538.50/14,310.24 = 3,615.42/x
3. Step 3: Cross multiply
   9,538.50x = 14,310.24 × 3,615.42
4. Step 4: Simplify right side
   9,538.50x = 51,737,527.90
5. Step 5: Solve for x
   x = 51,737,527.90/9,538.50
6. Step 6: Final answer
   x = 5,424.07