Finding the Fourth Proportional to 2,738.49, 3,779.15 and 1,559.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.49 : 3,779.15 = 1,559.64 : x
2. Step 2: Convert to fraction form
   2,738.49/3,779.15 = 1,559.64/x
3. Step 3: Cross multiply
   2,738.49x = 3,779.15 × 1,559.64
4. Step 4: Simplify right side
   2,738.49x = 5,894,105.71
5. Step 5: Solve for x
   x = 5,894,105.71/2,738.49
6. Step 6: Final answer
   x = 2,152.32