Finding the Fourth Proportional to 9,814.31, 13,544.06 and 5,565.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.31 : 13,544.06 = 5,565.38 : x
2. Step 2: Convert to fraction form
   9,814.31/13,544.06 = 5,565.38/x
3. Step 3: Cross multiply
   9,814.31x = 13,544.06 × 5,565.38
4. Step 4: Simplify right side
   9,814.31x = 75,377,890.68
5. Step 5: Solve for x
   x = 75,377,890.68/9,814.31
6. Step 6: Final answer
   x = 7,680.40