Finding the Fourth Proportional to 9,814.43, 13,543.20 and 5,565.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.43 : 13,543.20 = 5,565.57 : x
2. Step 2: Convert to fraction form
   9,814.43/13,543.20 = 5,565.57/x
3. Step 3: Cross multiply
   9,814.43x = 13,543.20 × 5,565.57
4. Step 4: Simplify right side
   9,814.43x = 75,375,627.62
5. Step 5: Solve for x
   x = 75,375,627.62/9,814.43
6. Step 6: Final answer
   x = 7,680.09