Finding the Fourth Proportional to 9,164.47, 13,737.31 and 3,615.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.47 : 13,737.31 = 3,615.57 : x
2. Step 2: Convert to fraction form
   9,164.47/13,737.31 = 3,615.57/x
3. Step 3: Cross multiply
   9,164.47x = 13,737.31 × 3,615.57
4. Step 4: Simplify right side
   9,164.47x = 49,668,205.92
5. Step 5: Solve for x
   x = 49,668,205.92/9,164.47
6. Step 6: Final answer
   x = 5,419.65