Finding the Fourth Proportional to 1,411.65, 1,947.45 and 821.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.65 : 1,947.45 = 821.83 : x
2. Step 2: Convert to fraction form
   1,411.65/1,947.45 = 821.83/x
3. Step 3: Cross multiply
   1,411.65x = 1,947.45 × 821.83
4. Step 4: Simplify right side
   1,411.65x = 1,600,472.83
5. Step 5: Solve for x
   x = 1,600,472.83/1,411.65
6. Step 6: Final answer
   x = 1,133.76