Finding the Fourth Proportional to 1,412.94, 1,949.86 and 823.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.94 : 1,949.86 = 823.59 : x
2. Step 2: Convert to fraction form
   1,412.94/1,949.86 = 823.59/x
3. Step 3: Cross multiply
   1,412.94x = 1,949.86 × 823.59
4. Step 4: Simplify right side
   1,412.94x = 1,605,871.33
5. Step 5: Solve for x
   x = 1,605,871.33/1,412.94
6. Step 6: Final answer
   x = 1,136.55