Finding the Fourth Proportional to 1,782.72, 2,674.20 and 686.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.72 : 2,674.20 = 686.72 : x
2. Step 2: Convert to fraction form
   1,782.72/2,674.20 = 686.72/x
3. Step 3: Cross multiply
   1,782.72x = 2,674.20 × 686.72
4. Step 4: Simplify right side
   1,782.72x = 1,836,426.62
5. Step 5: Solve for x
   x = 1,836,426.62/1,782.72
6. Step 6: Final answer
   x = 1,030.13