Finding the Fourth Proportional to 9,857.18, 13,609.55 and 7,584.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,857.18 : 13,609.55 = 7,584.48 : x
2. Step 2: Convert to fraction form
   9,857.18/13,609.55 = 7,584.48/x
3. Step 3: Cross multiply
   9,857.18x = 13,609.55 × 7,584.48
4. Step 4: Simplify right side
   9,857.18x = 103,221,321.86
5. Step 5: Solve for x
   x = 103,221,321.86/9,857.18
6. Step 6: Final answer
   x = 10,471.69