Finding the Fourth Proportional to 1,412.16, 1,948.77 and 822.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.16 : 1,948.77 = 822.78 : x
2. Step 2: Convert to fraction form
   1,412.16/1,948.77 = 822.78/x
3. Step 3: Cross multiply
   1,412.16x = 1,948.77 × 822.78
4. Step 4: Simplify right side
   1,412.16x = 1,603,408.98
5. Step 5: Solve for x
   x = 1,603,408.98/1,412.16
6. Step 6: Final answer
   x = 1,135.43