Finding the Fourth Proportional to 1,410.73, 1,946.93 and 821.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.73 : 1,946.93 = 821.15 : x
2. Step 2: Convert to fraction form
   1,410.73/1,946.93 = 821.15/x
3. Step 3: Cross multiply
   1,410.73x = 1,946.93 × 821.15
4. Step 4: Simplify right side
   1,410.73x = 1,598,715.03
5. Step 5: Solve for x
   x = 1,598,715.03/1,410.73
6. Step 6: Final answer
   x = 1,133.26