Finding the Fourth Proportional to 1,776.78, 2,665.34 and 682.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.78 : 2,665.34 = 682.06 : x
2. Step 2: Convert to fraction form
   1,776.78/2,665.34 = 682.06/x
3. Step 3: Cross multiply
   1,776.78x = 2,665.34 × 682.06
4. Step 4: Simplify right side
   1,776.78x = 1,817,921.80
5. Step 5: Solve for x
   x = 1,817,921.80/1,776.78
6. Step 6: Final answer
   x = 1,023.16