Finding the Fourth Proportional to 1,411.03, 1,946.73 and 821.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.03 : 1,946.73 = 821.53 : x
2. Step 2: Convert to fraction form
   1,411.03/1,946.73 = 821.53/x
3. Step 3: Cross multiply
   1,411.03x = 1,946.73 × 821.53
4. Step 4: Simplify right side
   1,411.03x = 1,599,297.10
5. Step 5: Solve for x
   x = 1,599,297.10/1,411.03
6. Step 6: Final answer
   x = 1,133.43