Finding the Fourth Proportional to 1,410.55, 1,946.67 and 821.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.55 : 1,946.67 = 821.12 : x
2. Step 2: Convert to fraction form
   1,410.55/1,946.67 = 821.12/x
3. Step 3: Cross multiply
   1,410.55x = 1,946.67 × 821.12
4. Step 4: Simplify right side
   1,410.55x = 1,598,436.86
5. Step 5: Solve for x
   x = 1,598,436.86/1,410.55
6. Step 6: Final answer
   x = 1,133.20