Finding the Fourth Proportional to 1,411.10, 1,947.34 and 821.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.10 : 1,947.34 = 821.82 : x
2. Step 2: Convert to fraction form
   1,411.10/1,947.34 = 821.82/x
3. Step 3: Cross multiply
   1,411.10x = 1,947.34 × 821.82
4. Step 4: Simplify right side
   1,411.10x = 1,600,362.96
5. Step 5: Solve for x
   x = 1,600,362.96/1,411.10
6. Step 6: Final answer
   x = 1,134.12