Finding the Fourth Proportional to 1,412.43, 1,949.55 and 823.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.43 : 1,949.55 = 823.16 : x
2. Step 2: Convert to fraction form
   1,412.43/1,949.55 = 823.16/x
3. Step 3: Cross multiply
   1,412.43x = 1,949.55 × 823.16
4. Step 4: Simplify right side
   1,412.43x = 1,604,781.83
5. Step 5: Solve for x
   x = 1,604,781.83/1,412.43
6. Step 6: Final answer
   x = 1,136.19