Finding the Fourth Proportional to 1,411.56, 1,947.85 and 822.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.56 : 1,947.85 = 822.02 : x
2. Step 2: Convert to fraction form
   1,411.56/1,947.85 = 822.02/x
3. Step 3: Cross multiply
   1,411.56x = 1,947.85 × 822.02
4. Step 4: Simplify right side
   1,411.56x = 1,601,159.86
5. Step 5: Solve for x
   x = 1,601,159.86/1,411.56
6. Step 6: Final answer
   x = 1,134.32