Finding the Fourth Proportional to 9,815.74, 13,542.45 and 5,566.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,815.74 : 13,542.45 = 5,566.27 : x
2. Step 2: Convert to fraction form
   9,815.74/13,542.45 = 5,566.27/x
3. Step 3: Cross multiply
   9,815.74x = 13,542.45 × 5,566.27
4. Step 4: Simplify right side
   9,815.74x = 75,380,933.16
5. Step 5: Solve for x
   x = 75,380,933.16/9,815.74
6. Step 6: Final answer
   x = 7,679.60