Finding the Fourth Proportional to 2,738.25, 3,778.92 and 1,559.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.25 : 3,778.92 = 1,559.43 : x
2. Step 2: Convert to fraction form
   2,738.25/3,778.92 = 1,559.43/x
3. Step 3: Cross multiply
   2,738.25x = 3,778.92 × 1,559.43
4. Step 4: Simplify right side
   2,738.25x = 5,892,961.22
5. Step 5: Solve for x
   x = 5,892,961.22/2,738.25
6. Step 6: Final answer
   x = 2,152.09