Finding the Fourth Proportional to 2,327.72, 3,491.20 and 684.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,327.72 : 3,491.20 = 684.08 : x
2. Step 2: Convert to fraction form
   2,327.72/3,491.20 = 684.08/x
3. Step 3: Cross multiply
   2,327.72x = 3,491.20 × 684.08
4. Step 4: Simplify right side
   2,327.72x = 2,388,260.10
5. Step 5: Solve for x
   x = 2,388,260.10/2,327.72
6. Step 6: Final answer
   x = 1,026.01