Finding the Fourth Proportional to 9,200.80, 12,693.69 and 5,614.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,200.80 : 12,693.69 = 5,614.54 : x
2. Step 2: Convert to fraction form
   9,200.80/12,693.69 = 5,614.54/x
3. Step 3: Cross multiply
   9,200.80x = 12,693.69 × 5,614.54
4. Step 4: Simplify right side
   9,200.80x = 71,269,230.25
5. Step 5: Solve for x
   x = 71,269,230.25/9,200.80
6. Step 6: Final answer
   x = 7,745.98