Finding the Fourth Proportional to 2,757.98, 4,138.50 and 2,549

Step by Step Solution

1. Step 1: Write the proportion equation
   2,757.98 : 4,138.50 = 2,549 : x
2. Step 2: Convert to fraction form
   2,757.98/4,138.50 = 2,549/x
3. Step 3: Cross multiply
   2,757.98x = 4,138.50 × 2,549
4. Step 4: Simplify right side
   2,757.98x = 10,549,036.50
5. Step 5: Solve for x
   x = 10,549,036.50/2,757.98
6. Step 6: Final answer
   x = 3,824.91