Finding the Fourth Proportional to 1,780.49, 2,668.69 and 684.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780.49 : 2,668.69 = 684.29 : x
2. Step 2: Convert to fraction form
   1,780.49/2,668.69 = 684.29/x
3. Step 3: Cross multiply
   1,780.49x = 2,668.69 × 684.29
4. Step 4: Simplify right side
   1,780.49x = 1,826,142.83
5. Step 5: Solve for x
   x = 1,826,142.83/1,780.49
6. Step 6: Final answer
   x = 1,025.64