Finding the Fourth Proportional to 1,410.48, 1,946.46 and 821.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.48 : 1,946.46 = 821.04 : x
2. Step 2: Convert to fraction form
   1,410.48/1,946.46 = 821.04/x
3. Step 3: Cross multiply
   1,410.48x = 1,946.46 × 821.04
4. Step 4: Simplify right side
   1,410.48x = 1,598,121.52
5. Step 5: Solve for x
   x = 1,598,121.52/1,410.48
6. Step 6: Final answer
   x = 1,133.03