Finding the Fourth Proportional to 1,412.56, 1,949.67 and 823.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.56 : 1,949.67 = 823.18 : x
2. Step 2: Convert to fraction form
   1,412.56/1,949.67 = 823.18/x
3. Step 3: Cross multiply
   1,412.56x = 1,949.67 × 823.18
4. Step 4: Simplify right side
   1,412.56x = 1,604,929.35
5. Step 5: Solve for x
   x = 1,604,929.35/1,412.56
6. Step 6: Final answer
   x = 1,136.18