Finding the Fourth Proportional to 9,538.50, 14,311.40 and 3,695.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.50 : 14,311.40 = 3,695.57 : x
2. Step 2: Convert to fraction form
   9,538.50/14,311.40 = 3,695.57/x
3. Step 3: Cross multiply
   9,538.50x = 14,311.40 × 3,695.57
4. Step 4: Simplify right side
   9,538.50x = 52,888,690.46
5. Step 5: Solve for x
   x = 52,888,690.46/9,538.50
6. Step 6: Final answer
   x = 5,544.76