Finding the Fourth Proportional to 1,411.86, 1,947.92 and 822.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.86 : 1,947.92 = 822.27 : x
2. Step 2: Convert to fraction form
   1,411.86/1,947.92 = 822.27/x
3. Step 3: Cross multiply
   1,411.86x = 1,947.92 × 822.27
4. Step 4: Simplify right side
   1,411.86x = 1,601,712.07
5. Step 5: Solve for x
   x = 1,601,712.07/1,411.86
6. Step 6: Final answer
   x = 1,134.47