Finding the Fourth Proportional to 2,586.16, 3,879.52 and 854.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.16 : 3,879.52 = 854.96 : x
2. Step 2: Convert to fraction form
   2,586.16/3,879.52 = 854.96/x
3. Step 3: Cross multiply
   2,586.16x = 3,879.52 × 854.96
4. Step 4: Simplify right side
   2,586.16x = 3,316,834.42
5. Step 5: Solve for x
   x = 3,316,834.42/2,586.16
6. Step 6: Final answer
   x = 1,282.53