Finding the Fourth Proportional to 1,412.68, 1,949.39 and 823.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.68 : 1,949.39 = 823.27 : x
2. Step 2: Convert to fraction form
   1,412.68/1,949.39 = 823.27/x
3. Step 3: Cross multiply
   1,412.68x = 1,949.39 × 823.27
4. Step 4: Simplify right side
   1,412.68x = 1,604,874.31
5. Step 5: Solve for x
   x = 1,604,874.31/1,412.68
6. Step 6: Final answer
   x = 1,136.05