Finding the Fourth Proportional to 1,453.02, 2,004.78 and 823.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453.02 : 2,004.78 = 823.41 : x
2. Step 2: Convert to fraction form
   1,453.02/2,004.78 = 823.41/x
3. Step 3: Cross multiply
   1,453.02x = 2,004.78 × 823.41
4. Step 4: Simplify right side
   1,453.02x = 1,650,755.90
5. Step 5: Solve for x
   x = 1,650,755.90/1,453.02
6. Step 6: Final answer
   x = 1,136.09