Finding the Fourth Proportional to 1,452.56, 2,004.72 and 823.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,452.56 : 2,004.72 = 823.31 : x
2. Step 2: Convert to fraction form
   1,452.56/2,004.72 = 823.31/x
3. Step 3: Cross multiply
   1,452.56x = 2,004.72 × 823.31
4. Step 4: Simplify right side
   1,452.56x = 1,650,516.05
5. Step 5: Solve for x
   x = 1,650,516.05/1,452.56
6. Step 6: Final answer
   x = 1,136.28