Finding the Fourth Proportional to 1,411.70, 1,947.98 and 822.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.70 : 1,947.98 = 822.20 : x
2. Step 2: Convert to fraction form
   1,411.70/1,947.98 = 822.20/x
3. Step 3: Cross multiply
   1,411.70x = 1,947.98 × 822.20
4. Step 4: Simplify right side
   1,411.70x = 1,601,629.16
5. Step 5: Solve for x
   x = 1,601,629.16/1,411.70
6. Step 6: Final answer
   x = 1,134.54