Finding the Fourth Proportional to 1,412.38, 1,949.04 and 822.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.38 : 1,949.04 = 822.94 : x
2. Step 2: Convert to fraction form
   1,412.38/1,949.04 = 822.94/x
3. Step 3: Cross multiply
   1,412.38x = 1,949.04 × 822.94
4. Step 4: Simplify right side
   1,412.38x = 1,603,942.98
5. Step 5: Solve for x
   x = 1,603,942.98/1,412.38
6. Step 6: Final answer
   x = 1,135.63