Finding the Fourth Proportional to 1,452.72, 2,005.06 and 823.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,452.72 : 2,005.06 = 823.28 : x
2. Step 2: Convert to fraction form
   1,452.72/2,005.06 = 823.28/x
3. Step 3: Cross multiply
   1,452.72x = 2,005.06 × 823.28
4. Step 4: Simplify right side
   1,452.72x = 1,650,725.80
5. Step 5: Solve for x
   x = 1,650,725.80/1,452.72
6. Step 6: Final answer
   x = 1,136.30