Finding the Fourth Proportional to 1,452.62, 2,004.63 and 823.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,452.62 : 2,004.63 = 823.15 : x
2. Step 2: Convert to fraction form
   1,452.62/2,004.63 = 823.15/x
3. Step 3: Cross multiply
   1,452.62x = 2,004.63 × 823.15
4. Step 4: Simplify right side
   1,452.62x = 1,650,111.18
5. Step 5: Solve for x
   x = 1,650,111.18/1,452.62
6. Step 6: Final answer
   x = 1,135.96