Finding the Fourth Proportional to 9,044.25, 12,481.46 and 5,685.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,044.25 : 12,481.46 = 5,685.78 : x
2. Step 2: Convert to fraction form
   9,044.25/12,481.46 = 5,685.78/x
3. Step 3: Cross multiply
   9,044.25x = 12,481.46 × 5,685.78
4. Step 4: Simplify right side
   9,044.25x = 70,966,835.64
5. Step 5: Solve for x
   x = 70,966,835.64/9,044.25
6. Step 6: Final answer
   x = 7,846.62