Finding the Fourth Proportional to 9,109.83, 12,567.92 and 5,566.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,109.83 : 12,567.92 = 5,566.89 : x
2. Step 2: Convert to fraction form
   9,109.83/12,567.92 = 5,566.89/x
3. Step 3: Cross multiply
   9,109.83x = 12,567.92 × 5,566.89
4. Step 4: Simplify right side
   9,109.83x = 69,964,200.33
5. Step 5: Solve for x
   x = 69,964,200.33/9,109.83
6. Step 6: Final answer
   x = 7,680.08