Finding the Fourth Proportional to 1,353.46, 1,867.74 and 822.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.46 : 1,867.74 = 822.43 : x
2. Step 2: Convert to fraction form
   1,353.46/1,867.74 = 822.43/x
3. Step 3: Cross multiply
   1,353.46x = 1,867.74 × 822.43
4. Step 4: Simplify right side
   1,353.46x = 1,536,085.41
5. Step 5: Solve for x
   x = 1,536,085.41/1,353.46
6. Step 6: Final answer
   x = 1,134.93