Finding the Fourth Proportional to 2,584.22, 3,876.69 and 852.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.22 : 3,876.69 = 852.62 : x
2. Step 2: Convert to fraction form
   2,584.22/3,876.69 = 852.62/x
3. Step 3: Cross multiply
   2,584.22x = 3,876.69 × 852.62
4. Step 4: Simplify right side
   2,584.22x = 3,305,343.43
5. Step 5: Solve for x
   x = 3,305,343.43/2,584.22
6. Step 6: Final answer
   x = 1,279.05