Finding the Fourth Proportional to 2,738.16, 3,778.83 and 1,559.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.16 : 3,778.83 = 1,559.34 : x
2. Step 2: Convert to fraction form
   2,738.16/3,778.83 = 1,559.34/x
3. Step 3: Cross multiply
   2,738.16x = 3,778.83 × 1,559.34
4. Step 4: Simplify right side
   2,738.16x = 5,892,480.77
5. Step 5: Solve for x
   x = 5,892,480.77/2,738.16
6. Step 6: Final answer
   x = 2,151.99