Finding the Fourth Proportional to 1,411.52, 1,947.92 and 822.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.52 : 1,947.92 = 822.40 : x
2. Step 2: Convert to fraction form
   1,411.52/1,947.92 = 822.40/x
3. Step 3: Cross multiply
   1,411.52x = 1,947.92 × 822.40
4. Step 4: Simplify right side
   1,411.52x = 1,601,960.43
5. Step 5: Solve for x
   x = 1,601,960.43/1,411.52
6. Step 6: Final answer
   x = 1,134.92