Finding the Fourth Proportional to 1,411.02, 1,946.97 and 821.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.02 : 1,946.97 = 821.61 : x
2. Step 2: Convert to fraction form
   1,411.02/1,946.97 = 821.61/x
3. Step 3: Cross multiply
   1,411.02x = 1,946.97 × 821.61
4. Step 4: Simplify right side
   1,411.02x = 1,599,650.02
5. Step 5: Solve for x
   x = 1,599,650.02/1,411.02
6. Step 6: Final answer
   x = 1,133.68