Finding the Fourth Proportional to 1,411.89, 1,948.41 and 822.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.89 : 1,948.41 = 822.81 : x
2. Step 2: Convert to fraction form
   1,411.89/1,948.41 = 822.81/x
3. Step 3: Cross multiply
   1,411.89x = 1,948.41 × 822.81
4. Step 4: Simplify right side
   1,411.89x = 1,603,171.23
5. Step 5: Solve for x
   x = 1,603,171.23/1,411.89
6. Step 6: Final answer
   x = 1,135.48