Finding the Fourth Proportional to 2,144.61, 3,217.05 and 684.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,144.61 : 3,217.05 = 684.72 : x
2. Step 2: Convert to fraction form
   2,144.61/3,217.05 = 684.72/x
3. Step 3: Cross multiply
   2,144.61x = 3,217.05 × 684.72
4. Step 4: Simplify right side
   2,144.61x = 2,202,778.48
5. Step 5: Solve for x
   x = 2,202,778.48/2,144.61
6. Step 6: Final answer
   x = 1,027.12