Finding the Fourth Proportional to 1,452.57, 2,004.56 and 823.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,452.57 : 2,004.56 = 823.10 : x
2. Step 2: Convert to fraction form
   1,452.57/2,004.56 = 823.10/x
3. Step 3: Cross multiply
   1,452.57x = 2,004.56 × 823.10
4. Step 4: Simplify right side
   1,452.57x = 1,649,953.34
5. Step 5: Solve for x
   x = 1,649,953.34/1,452.57
6. Step 6: Final answer
   x = 1,135.89