Finding the Fourth Proportional to 2,801.34, 4,202.82 and 853.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,801.34 : 4,202.82 = 853.86 : x
2. Step 2: Convert to fraction form
   2,801.34/4,202.82 = 853.86/x
3. Step 3: Cross multiply
   2,801.34x = 4,202.82 × 853.86
4. Step 4: Simplify right side
   2,801.34x = 3,588,619.89
5. Step 5: Solve for x
   x = 3,588,619.89/2,801.34
6. Step 6: Final answer
   x = 1,281.04