Finding the Fourth Proportional to 1,103.59, 1,522.16 and 842.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,103.59 : 1,522.16 = 842.23 : x
2. Step 2: Convert to fraction form
   1,103.59/1,522.16 = 842.23/x
3. Step 3: Cross multiply
   1,103.59x = 1,522.16 × 842.23
4. Step 4: Simplify right side
   1,103.59x = 1,282,004.61
5. Step 5: Solve for x
   x = 1,282,004.61/1,103.59
6. Step 6: Final answer
   x = 1,161.67