Finding the Fourth Proportional to 2,327.74, 3,491.82 and 684.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,327.74 : 3,491.82 = 684.30 : x
2. Step 2: Convert to fraction form
   2,327.74/3,491.82 = 684.30/x
3. Step 3: Cross multiply
   2,327.74x = 3,491.82 × 684.30
4. Step 4: Simplify right side
   2,327.74x = 2,389,452.43
5. Step 5: Solve for x
   x = 2,389,452.43/2,327.74
6. Step 6: Final answer
   x = 1,026.51