Finding the Fourth Proportional to 2,586.09, 3,879.75 and 854.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.09 : 3,879.75 = 854.72 : x
2. Step 2: Convert to fraction form
   2,586.09/3,879.75 = 854.72/x
3. Step 3: Cross multiply
   2,586.09x = 3,879.75 × 854.72
4. Step 4: Simplify right side
   2,586.09x = 3,316,093.47
5. Step 5: Solve for x
   x = 3,316,093.47/2,586.09
6. Step 6: Final answer
   x = 1,282.28