Finding the Fourth Proportional to 1,412.72, 1,949.57 and 823.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.72 : 1,949.57 = 823.31 : x
2. Step 2: Convert to fraction form
   1,412.72/1,949.57 = 823.31/x
3. Step 3: Cross multiply
   1,412.72x = 1,949.57 × 823.31
4. Step 4: Simplify right side
   1,412.72x = 1,605,086.61
5. Step 5: Solve for x
   x = 1,605,086.61/1,412.72
6. Step 6: Final answer
   x = 1,136.17