Finding the Fourth Proportional to 1,411.11, 1,946.88 and 821.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.11 : 1,946.88 = 821.52 : x
2. Step 2: Convert to fraction form
   1,411.11/1,946.88 = 821.52/x
3. Step 3: Cross multiply
   1,411.11x = 1,946.88 × 821.52
4. Step 4: Simplify right side
   1,411.11x = 1,599,400.86
5. Step 5: Solve for x
   x = 1,599,400.86/1,411.11
6. Step 6: Final answer
   x = 1,133.43