Finding the Fourth Proportional to 1,412.58, 1,949.37 and 823.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.58 : 1,949.37 = 823.14 : x
2. Step 2: Convert to fraction form
   1,412.58/1,949.37 = 823.14/x
3. Step 3: Cross multiply
   1,412.58x = 1,949.37 × 823.14
4. Step 4: Simplify right side
   1,412.58x = 1,604,604.42
5. Step 5: Solve for x
   x = 1,604,604.42/1,412.58
6. Step 6: Final answer
   x = 1,135.94