Finding the Fourth Proportional to 2,584.52, 3,876.84 and 853.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.52 : 3,876.84 = 853.28 : x
2. Step 2: Convert to fraction form
   2,584.52/3,876.84 = 853.28/x
3. Step 3: Cross multiply
   2,584.52x = 3,876.84 × 853.28
4. Step 4: Simplify right side
   2,584.52x = 3,308,030.04
5. Step 5: Solve for x
   x = 3,308,030.04/2,584.52
6. Step 6: Final answer
   x = 1,279.94