Finding the Fourth Proportional to 9,814.96, 13,541.32 and 5,565.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.96 : 13,541.32 = 5,565.56 : x
2. Step 2: Convert to fraction form
   9,814.96/13,541.32 = 5,565.56/x
3. Step 3: Cross multiply
   9,814.96x = 13,541.32 × 5,565.56
4. Step 4: Simplify right side
   9,814.96x = 75,365,028.94
5. Step 5: Solve for x
   x = 75,365,028.94/9,814.96
6. Step 6: Final answer
   x = 7,678.59