Finding the Fourth Proportional to 9,815.43, 13,544.89 and 5,566.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,815.43 : 13,544.89 = 5,566.78 : x
2. Step 2: Convert to fraction form
   9,815.43/13,544.89 = 5,566.78/x
3. Step 3: Cross multiply
   9,815.43x = 13,544.89 × 5,566.78
4. Step 4: Simplify right side
   9,815.43x = 75,401,422.75
5. Step 5: Solve for x
   x = 75,401,422.75/9,815.43
6. Step 6: Final answer
   x = 7,681.93