Finding the Fourth Proportional to 1,412.70, 1,949.43 and 823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.70 : 1,949.43 = 823.50 : x
2. Step 2: Convert to fraction form
   1,412.70/1,949.43 = 823.50/x
3. Step 3: Cross multiply
   1,412.70x = 1,949.43 × 823.50
4. Step 4: Simplify right side
   1,412.70x = 1,605,355.61
5. Step 5: Solve for x
   x = 1,605,355.61/1,412.70
6. Step 6: Final answer
   x = 1,136.37