Finding the Fourth Proportional to 1,410.54, 1,946.82 and 821.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.54 : 1,946.82 = 821.06 : x
2. Step 2: Convert to fraction form
   1,410.54/1,946.82 = 821.06/x
3. Step 3: Cross multiply
   1,410.54x = 1,946.82 × 821.06
4. Step 4: Simplify right side
   1,410.54x = 1,598,456.03
5. Step 5: Solve for x
   x = 1,598,456.03/1,410.54
6. Step 6: Final answer
   x = 1,133.22