Finding the Fourth Proportional to 9,536.48, 13,160.17 and 5,287.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536.48 : 13,160.17 = 5,287.53 : x
2. Step 2: Convert to fraction form
   9,536.48/13,160.17 = 5,287.53/x
3. Step 3: Cross multiply
   9,536.48x = 13,160.17 × 5,287.53
4. Step 4: Simplify right side
   9,536.48x = 69,584,793.68
5. Step 5: Solve for x
   x = 69,584,793.68/9,536.48
6. Step 6: Final answer
   x = 7,296.70