Finding the Fourth Proportional to 2,080.52, 2,871.08 and 1,149

Step by Step Solution

1. Step 1: Write the proportion equation
   2,080.52 : 2,871.08 = 1,149 : x
2. Step 2: Convert to fraction form
   2,080.52/2,871.08 = 1,149/x
3. Step 3: Cross multiply
   2,080.52x = 2,871.08 × 1,149
4. Step 4: Simplify right side
   2,080.52x = 3,298,870.92
5. Step 5: Solve for x
   x = 3,298,870.92/2,080.52
6. Step 6: Final answer
   x = 1,585.60