Finding the Fourth Proportional to 9,535.62, 13,158.10 and 5,286.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,535.62 : 13,158.10 = 5,286.57 : x
2. Step 2: Convert to fraction form
   9,535.62/13,158.10 = 5,286.57/x
3. Step 3: Cross multiply
   9,535.62x = 13,158.10 × 5,286.57
4. Step 4: Simplify right side
   9,535.62x = 69,561,216.72
5. Step 5: Solve for x
   x = 69,561,216.72/9,535.62
6. Step 6: Final answer
   x = 7,294.88