Finding the Fourth Proportional to 1,778.78, 2,667.72 and 682.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,778.78 : 2,667.72 = 682.82 : x
2. Step 2: Convert to fraction form
   1,778.78/2,667.72 = 682.82/x
3. Step 3: Cross multiply
   1,778.78x = 2,667.72 × 682.82
4. Step 4: Simplify right side
   1,778.78x = 1,821,572.57
5. Step 5: Solve for x
   x = 1,821,572.57/1,778.78
6. Step 6: Final answer
   x = 1,024.06