Finding the Fourth Proportional to 2,585.27, 3,879.62 and 919.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.27 : 3,879.62 = 919.32 : x
2. Step 2: Convert to fraction form
   2,585.27/3,879.62 = 919.32/x
3. Step 3: Cross multiply
   2,585.27x = 3,879.62 × 919.32
4. Step 4: Simplify right side
   2,585.27x = 3,566,614.56
5. Step 5: Solve for x
   x = 3,566,614.56/2,585.27
6. Step 6: Final answer
   x = 1,379.59