Finding the Fourth Proportional to 1,103.68, 1,522.56 and 823.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,103.68 : 1,522.56 = 823.42 : x
2. Step 2: Convert to fraction form
   1,103.68/1,522.56 = 823.42/x
3. Step 3: Cross multiply
   1,103.68x = 1,522.56 × 823.42
4. Step 4: Simplify right side
   1,103.68x = 1,253,706.36
5. Step 5: Solve for x
   x = 1,253,706.36/1,103.68
6. Step 6: Final answer
   x = 1,135.93