Finding the Fourth Proportional to 2,581.65, 3,870.42 and 1,119.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.65 : 3,870.42 = 1,119.78 : x
2. Step 2: Convert to fraction form
   2,581.65/3,870.42 = 1,119.78/x
3. Step 3: Cross multiply
   2,581.65x = 3,870.42 × 1,119.78
4. Step 4: Simplify right side
   2,581.65x = 4,334,018.91
5. Step 5: Solve for x
   x = 4,334,018.91/2,581.65
6. Step 6: Final answer
   x = 1,678.78