Finding the Fourth Proportional to 1,520.10, 2,264.18 and 1,449

Step by Step Solution

1. Step 1: Write the proportion equation
   1,520.10 : 2,264.18 = 1,449 : x
2. Step 2: Convert to fraction form
   1,520.10/2,264.18 = 1,449/x
3. Step 3: Cross multiply
   1,520.10x = 2,264.18 × 1,449
4. Step 4: Simplify right side
   1,520.10x = 3,280,789.58
5. Step 5: Solve for x
   x = 3,280,789.58/1,520.10
6. Step 6: Final answer
   x = 2,158.27