Finding the Fourth Proportional to 1,412.82, 1,949.72 and 823.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.82 : 1,949.72 = 823.59 : x
2. Step 2: Convert to fraction form
   1,412.82/1,949.72 = 823.59/x
3. Step 3: Cross multiply
   1,412.82x = 1,949.72 × 823.59
4. Step 4: Simplify right side
   1,412.82x = 1,605,765.78
5. Step 5: Solve for x
   x = 1,605,765.78/1,412.82
6. Step 6: Final answer
   x = 1,136.57