Finding the Fourth Proportional to 1,411.56, 1,947.86 and 822

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.56 : 1,947.86 = 822 : x
2. Step 2: Convert to fraction form
   1,411.56/1,947.86 = 822/x
3. Step 3: Cross multiply
   1,411.56x = 1,947.86 × 822
4. Step 4: Simplify right side
   1,411.56x = 1,601,140.92
5. Step 5: Solve for x
   x = 1,601,140.92/1,411.56
6. Step 6: Final answer
   x = 1,134.31