Finding the Fourth Proportional to 1,411.62, 1,947.92 and 822.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.62 : 1,947.92 = 822.03 : x
2. Step 2: Convert to fraction form
   1,411.62/1,947.92 = 822.03/x
3. Step 3: Cross multiply
   1,411.62x = 1,947.92 × 822.03
4. Step 4: Simplify right side
   1,411.62x = 1,601,248.68
5. Step 5: Solve for x
   x = 1,601,248.68/1,411.62
6. Step 6: Final answer
   x = 1,134.33