Finding the Fourth Proportional to 1,354.52, 1,869.27 and 823.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.52 : 1,869.27 = 823.22 : x
2. Step 2: Convert to fraction form
   1,354.52/1,869.27 = 823.22/x
3. Step 3: Cross multiply
   1,354.52x = 1,869.27 × 823.22
4. Step 4: Simplify right side
   1,354.52x = 1,538,815.78
5. Step 5: Solve for x
   x = 1,538,815.78/1,354.52
6. Step 6: Final answer
   x = 1,136.06