Finding the Fourth Proportional to 1,766.82, 2,649.38 and 726.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,766.82 : 2,649.38 = 726.55 : x
2. Step 2: Convert to fraction form
   1,766.82/2,649.38 = 726.55/x
3. Step 3: Cross multiply
   1,766.82x = 2,649.38 × 726.55
4. Step 4: Simplify right side
   1,766.82x = 1,924,896.78
5. Step 5: Solve for x
   x = 1,924,896.78/1,766.82
6. Step 6: Final answer
   x = 1,089.47