Finding the Fourth Proportional to 9,538.29, 14,309.60 and 3,696.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.29 : 14,309.60 = 3,696.57 : x
2. Step 2: Convert to fraction form
   9,538.29/14,309.60 = 3,696.57/x
3. Step 3: Cross multiply
   9,538.29x = 14,309.60 × 3,696.57
4. Step 4: Simplify right side
   9,538.29x = 52,896,419.59
5. Step 5: Solve for x
   x = 52,896,419.59/9,538.29
6. Step 6: Final answer
   x = 5,545.69