Finding the Fourth Proportional to 1,412.93, 1,949.61 and 823.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.93 : 1,949.61 = 823.46 : x
2. Step 2: Convert to fraction form
   1,412.93/1,949.61 = 823.46/x
3. Step 3: Cross multiply
   1,412.93x = 1,949.61 × 823.46
4. Step 4: Simplify right side
   1,412.93x = 1,605,416.10
5. Step 5: Solve for x
   x = 1,605,416.10/1,412.93
6. Step 6: Final answer
   x = 1,136.24