Finding the Fourth Proportional to 9,203.80, 12,694.56 and 5,665.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,203.80 : 12,694.56 = 5,665.72 : x
2. Step 2: Convert to fraction form
   9,203.80/12,694.56 = 5,665.72/x
3. Step 3: Cross multiply
   9,203.80x = 12,694.56 × 5,665.72
4. Step 4: Simplify right side
   9,203.80x = 71,923,822.48
5. Step 5: Solve for x
   x = 71,923,822.48/9,203.80
6. Step 6: Final answer
   x = 7,814.58