Finding the Fourth Proportional to 1,353.98, 1,867.91 and 822.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.98 : 1,867.91 = 822.89 : x
2. Step 2: Convert to fraction form
   1,353.98/1,867.91 = 822.89/x
3. Step 3: Cross multiply
   1,353.98x = 1,867.91 × 822.89
4. Step 4: Simplify right side
   1,353.98x = 1,537,071.01
5. Step 5: Solve for x
   x = 1,537,071.01/1,353.98
6. Step 6: Final answer
   x = 1,135.23