Finding the Fourth Proportional to 2,738.32, 3,778.93 and 1,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.32 : 3,778.93 = 1,559.50 : x
2. Step 2: Convert to fraction form
   2,738.32/3,778.93 = 1,559.50/x
3. Step 3: Cross multiply
   2,738.32x = 3,778.93 × 1,559.50
4. Step 4: Simplify right side
   2,738.32x = 5,893,241.34
5. Step 5: Solve for x
   x = 5,893,241.34/2,738.32
6. Step 6: Final answer
   x = 2,152.14