Finding the Fourth Proportional to 2,738.64, 3,778.38 and 1,559.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.64 : 3,778.38 = 1,559.40 : x
2. Step 2: Convert to fraction form
   2,738.64/3,778.38 = 1,559.40/x
3. Step 3: Cross multiply
   2,738.64x = 3,778.38 × 1,559.40
4. Step 4: Simplify right side
   2,738.64x = 5,892,005.77
5. Step 5: Solve for x
   x = 5,892,005.77/2,738.64
6. Step 6: Final answer
   x = 2,151.43