Finding the Fourth Proportional to 1,411.27, 1,947.79 and 822.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.27 : 1,947.79 = 822.15 : x
2. Step 2: Convert to fraction form
   1,411.27/1,947.79 = 822.15/x
3. Step 3: Cross multiply
   1,411.27x = 1,947.79 × 822.15
4. Step 4: Simplify right side
   1,411.27x = 1,601,375.55
5. Step 5: Solve for x
   x = 1,601,375.55/1,411.27
6. Step 6: Final answer
   x = 1,134.71