Finding the Fourth Proportional to 1,216.82, 1,822.49 and 853.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216.82 : 1,822.49 = 853.23 : x
2. Step 2: Convert to fraction form
   1,216.82/1,822.49 = 853.23/x
3. Step 3: Cross multiply
   1,216.82x = 1,822.49 × 853.23
4. Step 4: Simplify right side
   1,216.82x = 1,555,010.29
5. Step 5: Solve for x
   x = 1,555,010.29/1,216.82
6. Step 6: Final answer
   x = 1,277.93