Finding the Fourth Proportional to 2,609.52, 3,915.16 and 854.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.52 : 3,915.16 = 854.61 : x
2. Step 2: Convert to fraction form
   2,609.52/3,915.16 = 854.61/x
3. Step 3: Cross multiply
   2,609.52x = 3,915.16 × 854.61
4. Step 4: Simplify right side
   2,609.52x = 3,345,934.89
5. Step 5: Solve for x
   x = 3,345,934.89/2,609.52
6. Step 6: Final answer
   x = 1,282.20