Finding the Fourth Proportional to 2,738.72, 3,779.50 and 1,559.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.72 : 3,779.50 = 1,559.77 : x
2. Step 2: Convert to fraction form
   2,738.72/3,779.50 = 1,559.77/x
3. Step 3: Cross multiply
   2,738.72x = 3,779.50 × 1,559.77
4. Step 4: Simplify right side
   2,738.72x = 5,895,137.37
5. Step 5: Solve for x
   x = 5,895,137.37/2,738.72
6. Step 6: Final answer
   x = 2,152.51