Finding the Fourth Proportional to 1,411.18, 1,947.83 and 821.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.18 : 1,947.83 = 821.90 : x
2. Step 2: Convert to fraction form
   1,411.18/1,947.83 = 821.90/x
3. Step 3: Cross multiply
   1,411.18x = 1,947.83 × 821.90
4. Step 4: Simplify right side
   1,411.18x = 1,600,922.24
5. Step 5: Solve for x
   x = 1,600,922.24/1,411.18
6. Step 6: Final answer
   x = 1,134.46