Finding the Fourth Proportional to 1,506.29, 2,078.67 and 843.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.29 : 2,078.67 = 843.15 : x
2. Step 2: Convert to fraction form
   1,506.29/2,078.67 = 843.15/x
3. Step 3: Cross multiply
   1,506.29x = 2,078.67 × 843.15
4. Step 4: Simplify right side
   1,506.29x = 1,752,630.61
5. Step 5: Solve for x
   x = 1,752,630.61/1,506.29
6. Step 6: Final answer
   x = 1,163.55