Finding the Fourth Proportional to 9,105.30, 12,564.54 and 5,567.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.30 : 12,564.54 = 5,567.94 : x
2. Step 2: Convert to fraction form
   9,105.30/12,564.54 = 5,567.94/x
3. Step 3: Cross multiply
   9,105.30x = 12,564.54 × 5,567.94
4. Step 4: Simplify right side
   9,105.30x = 69,958,604.85
5. Step 5: Solve for x
   x = 69,958,604.85/9,105.30
6. Step 6: Final answer
   x = 7,683.28