Finding the Fourth Proportional to 2,757.81, 3,805.71 and 1,578.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,757.81 : 3,805.71 = 1,578.78 : x
2. Step 2: Convert to fraction form
   2,757.81/3,805.71 = 1,578.78/x
3. Step 3: Cross multiply
   2,757.81x = 3,805.71 × 1,578.78
4. Step 4: Simplify right side
   2,757.81x = 6,008,378.83
5. Step 5: Solve for x
   x = 6,008,378.83/2,757.81
6. Step 6: Final answer
   x = 2,178.68