Finding the Fourth Proportional to 1,410.62, 1,947.06 and 821.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.62 : 1,947.06 = 821.39 : x
2. Step 2: Convert to fraction form
   1,410.62/1,947.06 = 821.39/x
3. Step 3: Cross multiply
   1,410.62x = 1,947.06 × 821.39
4. Step 4: Simplify right side
   1,410.62x = 1,599,285.88
5. Step 5: Solve for x
   x = 1,599,285.88/1,410.62
6. Step 6: Final answer
   x = 1,133.75