Finding the Fourth Proportional to 2,584.56, 3,877.45 and 853.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.56 : 3,877.45 = 853.19 : x
2. Step 2: Convert to fraction form
   2,584.56/3,877.45 = 853.19/x
3. Step 3: Cross multiply
   2,584.56x = 3,877.45 × 853.19
4. Step 4: Simplify right side
   2,584.56x = 3,308,201.57
5. Step 5: Solve for x
   x = 3,308,201.57/2,584.56
6. Step 6: Final answer
   x = 1,279.99