Finding the Fourth Proportional to 1,411.06, 1,947.47 and 821.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.06 : 1,947.47 = 821.92 : x
2. Step 2: Convert to fraction form
   1,411.06/1,947.47 = 821.92/x
3. Step 3: Cross multiply
   1,411.06x = 1,947.47 × 821.92
4. Step 4: Simplify right side
   1,411.06x = 1,600,664.54
5. Step 5: Solve for x
   x = 1,600,664.54/1,411.06
6. Step 6: Final answer
   x = 1,134.37