Finding the Fourth Proportional to 1,411.85, 1,947.94 and 822.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.85 : 1,947.94 = 822.29 : x
2. Step 2: Convert to fraction form
   1,411.85/1,947.94 = 822.29/x
3. Step 3: Cross multiply
   1,411.85x = 1,947.94 × 822.29
4. Step 4: Simplify right side
   1,411.85x = 1,601,759.79
5. Step 5: Solve for x
   x = 1,601,759.79/1,411.85
6. Step 6: Final answer
   x = 1,134.51