Finding the Fourth Proportional to 1,411.50, 1,947.98 and 822.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.50 : 1,947.98 = 822.15 : x
2. Step 2: Convert to fraction form
   1,411.50/1,947.98 = 822.15/x
3. Step 3: Cross multiply
   1,411.50x = 1,947.98 × 822.15
4. Step 4: Simplify right side
   1,411.50x = 1,601,531.76
5. Step 5: Solve for x
   x = 1,601,531.76/1,411.50
6. Step 6: Final answer
   x = 1,134.63