Finding the Fourth Proportional to 1,152.86, 1,589.69 and 821.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.86 : 1,589.69 = 821.16 : x
2. Step 2: Convert to fraction form
   1,152.86/1,589.69 = 821.16/x
3. Step 3: Cross multiply
   1,152.86x = 1,589.69 × 821.16
4. Step 4: Simplify right side
   1,152.86x = 1,305,391.89
5. Step 5: Solve for x
   x = 1,305,391.89/1,152.86
6. Step 6: Final answer
   x = 1,132.31