Finding the Fourth Proportional to 2,584.30, 3,876.72 and 852.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.30 : 3,876.72 = 852.52 : x
2. Step 2: Convert to fraction form
   2,584.30/3,876.72 = 852.52/x
3. Step 3: Cross multiply
   2,584.30x = 3,876.72 × 852.52
4. Step 4: Simplify right side
   2,584.30x = 3,304,981.33
5. Step 5: Solve for x
   x = 3,304,981.33/2,584.30
6. Step 6: Final answer
   x = 1,278.87