Finding the Fourth Proportional to 2,678.78, 3,697.46 and 1,559.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678.78 : 3,697.46 = 1,559.93 : x
2. Step 2: Convert to fraction form
   2,678.78/3,697.46 = 1,559.93/x
3. Step 3: Cross multiply
   2,678.78x = 3,697.46 × 1,559.93
4. Step 4: Simplify right side
   2,678.78x = 5,767,778.78
5. Step 5: Solve for x
   x = 5,767,778.78/2,678.78
6. Step 6: Final answer
   x = 2,153.14