Finding the Fourth Proportional to 1,452.81, 2,004.76 and 823.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,452.81 : 2,004.76 = 823.47 : x
2. Step 2: Convert to fraction form
   1,452.81/2,004.76 = 823.47/x
3. Step 3: Cross multiply
   1,452.81x = 2,004.76 × 823.47
4. Step 4: Simplify right side
   1,452.81x = 1,650,859.72
5. Step 5: Solve for x
   x = 1,650,859.72/1,452.81
6. Step 6: Final answer
   x = 1,136.32