Finding the Fourth Proportional to 1,410.62, 1,946.54 and 821.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.62 : 1,946.54 = 821.03 : x
2. Step 2: Convert to fraction form
   1,410.62/1,946.54 = 821.03/x
3. Step 3: Cross multiply
   1,410.62x = 1,946.54 × 821.03
4. Step 4: Simplify right side
   1,410.62x = 1,598,160.06
5. Step 5: Solve for x
   x = 1,598,160.06/1,410.62
6. Step 6: Final answer
   x = 1,132.95