Finding the Fourth Proportional to 9,536.16, 13,158.82 and 5,286.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536.16 : 13,158.82 = 5,286.15 : x
2. Step 2: Convert to fraction form
   9,536.16/13,158.82 = 5,286.15/x
3. Step 3: Cross multiply
   9,536.16x = 13,158.82 × 5,286.15
4. Step 4: Simplify right side
   9,536.16x = 69,559,496.34
5. Step 5: Solve for x
   x = 69,559,496.34/9,536.16
6. Step 6: Final answer
   x = 7,294.29