Finding the Fourth Proportional to 1,280.18, 1,766.66 and 749.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,280.18 : 1,766.66 = 749.42 : x
2. Step 2: Convert to fraction form
   1,280.18/1,766.66 = 749.42/x
3. Step 3: Cross multiply
   1,280.18x = 1,766.66 × 749.42
4. Step 4: Simplify right side
   1,280.18x = 1,323,970.34
5. Step 5: Solve for x
   x = 1,323,970.34/1,280.18
6. Step 6: Final answer
   x = 1,034.21