Finding the Fourth Proportional to 2,738.52, 3,779.46 and 1,559.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.52 : 3,779.46 = 1,559.76 : x
2. Step 2: Convert to fraction form
   2,738.52/3,779.46 = 1,559.76/x
3. Step 3: Cross multiply
   2,738.52x = 3,779.46 × 1,559.76
4. Step 4: Simplify right side
   2,738.52x = 5,895,050.53
5. Step 5: Solve for x
   x = 5,895,050.53/2,738.52
6. Step 6: Final answer
   x = 2,152.64