Finding the Fourth Proportional to 1,776.83, 2,665.34 and 680.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.83 : 2,665.34 = 680.69 : x
2. Step 2: Convert to fraction form
   1,776.83/2,665.34 = 680.69/x
3. Step 3: Cross multiply
   1,776.83x = 2,665.34 × 680.69
4. Step 4: Simplify right side
   1,776.83x = 1,814,253.55
5. Step 5: Solve for x
   x = 1,814,253.55/1,776.83
6. Step 6: Final answer
   x = 1,021.06