Finding the Fourth Proportional to 1,411.22, 1,947.48 and 822.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.22 : 1,947.48 = 822.15 : x
2. Step 2: Convert to fraction form
   1,411.22/1,947.48 = 822.15/x
3. Step 3: Cross multiply
   1,411.22x = 1,947.48 × 822.15
4. Step 4: Simplify right side
   1,411.22x = 1,601,120.68
5. Step 5: Solve for x
   x = 1,601,120.68/1,411.22
6. Step 6: Final answer
   x = 1,134.56