Finding the Fourth Proportional to 2,327.85, 3,491.31 and 684.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,327.85 : 3,491.31 = 684.03 : x
2. Step 2: Convert to fraction form
   2,327.85/3,491.31 = 684.03/x
3. Step 3: Cross multiply
   2,327.85x = 3,491.31 × 684.03
4. Step 4: Simplify right side
   2,327.85x = 2,388,160.78
5. Step 5: Solve for x
   x = 2,388,160.78/2,327.85
6. Step 6: Final answer
   x = 1,025.91