Finding the Fourth Proportional to 2,584.72, 3,877.62 and 854.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.72 : 3,877.62 = 854.56 : x
2. Step 2: Convert to fraction form
   2,584.72/3,877.62 = 854.56/x
3. Step 3: Cross multiply
   2,584.72x = 3,877.62 × 854.56
4. Step 4: Simplify right side
   2,584.72x = 3,313,658.95
5. Step 5: Solve for x
   x = 3,313,658.95/2,584.72
6. Step 6: Final answer
   x = 1,282.02