Finding the Fourth Proportional to 2,585.48, 3,878.41 and 806.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.48 : 3,878.41 = 806.31 : x
2. Step 2: Convert to fraction form
   2,585.48/3,878.41 = 806.31/x
3. Step 3: Cross multiply
   2,585.48x = 3,878.41 × 806.31
4. Step 4: Simplify right side
   2,585.48x = 3,127,198.75
5. Step 5: Solve for x
   x = 3,127,198.75/2,585.48
6. Step 6: Final answer
   x = 1,209.53