Finding the Fourth Proportional to 1,411.38, 1,947.81 and 821.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.38 : 1,947.81 = 821.96 : x
2. Step 2: Convert to fraction form
   1,411.38/1,947.81 = 821.96/x
3. Step 3: Cross multiply
   1,411.38x = 1,947.81 × 821.96
4. Step 4: Simplify right side
   1,411.38x = 1,601,012.17
5. Step 5: Solve for x
   x = 1,601,012.17/1,411.38
6. Step 6: Final answer
   x = 1,134.36