Finding the Fourth Proportional to 2,738.40, 3,778.86 and 1,559.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.40 : 3,778.86 = 1,559.46 : x
2. Step 2: Convert to fraction form
   2,738.40/3,778.86 = 1,559.46/x
3. Step 3: Cross multiply
   2,738.40x = 3,778.86 × 1,559.46
4. Step 4: Simplify right side
   2,738.40x = 5,892,981.02
5. Step 5: Solve for x
   x = 5,892,981.02/2,738.40
6. Step 6: Final answer
   x = 2,151.98