Finding the Fourth Proportional to 1,280.92, 1,770.72 and 1,149.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,280.92 : 1,770.72 = 1,149.68 : x
2. Step 2: Convert to fraction form
   1,280.92/1,770.72 = 1,149.68/x
3. Step 3: Cross multiply
   1,280.92x = 1,770.72 × 1,149.68
4. Step 4: Simplify right side
   1,280.92x = 2,035,761.37
5. Step 5: Solve for x
   x = 2,035,761.37/1,280.92
6. Step 6: Final answer
   x = 1,589.30