Finding the Fourth Proportional to 1,410.09, 1,946.41 and 821.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.09 : 1,946.41 = 821.12 : x
2. Step 2: Convert to fraction form
   1,410.09/1,946.41 = 821.12/x
3. Step 3: Cross multiply
   1,410.09x = 1,946.41 × 821.12
4. Step 4: Simplify right side
   1,410.09x = 1,598,236.18
5. Step 5: Solve for x
   x = 1,598,236.18/1,410.09
6. Step 6: Final answer
   x = 1,133.43