Finding the Fourth Proportional to 1,766.25, 2,648.31 and 726.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,766.25 : 2,648.31 = 726.75 : x
2. Step 2: Convert to fraction form
   1,766.25/2,648.31 = 726.75/x
3. Step 3: Cross multiply
   1,766.25x = 2,648.31 × 726.75
4. Step 4: Simplify right side
   1,766.25x = 1,924,659.29
5. Step 5: Solve for x
   x = 1,924,659.29/1,766.25
6. Step 6: Final answer
   x = 1,089.69