Finding the Fourth Proportional to 1,280.21, 1,766.71 and 749.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,280.21 : 1,766.71 = 749.46 : x
2. Step 2: Convert to fraction form
   1,280.21/1,766.71 = 749.46/x
3. Step 3: Cross multiply
   1,280.21x = 1,766.71 × 749.46
4. Step 4: Simplify right side
   1,280.21x = 1,324,081.82
5. Step 5: Solve for x
   x = 1,324,081.82/1,280.21
6. Step 6: Final answer
   x = 1,034.27