Finding the Fourth Proportional to 1,411.88, 1,948.46 and 822.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.88 : 1,948.46 = 822.74 : x
2. Step 2: Convert to fraction form
   1,411.88/1,948.46 = 822.74/x
3. Step 3: Cross multiply
   1,411.88x = 1,948.46 × 822.74
4. Step 4: Simplify right side
   1,411.88x = 1,603,062.12
5. Step 5: Solve for x
   x = 1,603,062.12/1,411.88
6. Step 6: Final answer
   x = 1,135.41