Finding the Fourth Proportional to 1,411.48, 1,947.84 and 822.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.48 : 1,947.84 = 822.04 : x
2. Step 2: Convert to fraction form
   1,411.48/1,947.84 = 822.04/x
3. Step 3: Cross multiply
   1,411.48x = 1,947.84 × 822.04
4. Step 4: Simplify right side
   1,411.48x = 1,601,202.39
5. Step 5: Solve for x
   x = 1,601,202.39/1,411.48
6. Step 6: Final answer
   x = 1,134.41