Finding the Fourth Proportional to 1,411.94, 1,948.67 and 822.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.94 : 1,948.67 = 822.66 : x
2. Step 2: Convert to fraction form
   1,411.94/1,948.67 = 822.66/x
3. Step 3: Cross multiply
   1,411.94x = 1,948.67 × 822.66
4. Step 4: Simplify right side
   1,411.94x = 1,603,092.86
5. Step 5: Solve for x
   x = 1,603,092.86/1,411.94
6. Step 6: Final answer
   x = 1,135.38