Finding the Fourth Proportional to 3,160.82, 4,741.52 and 820.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,160.82 : 4,741.52 = 820.82 : x
2. Step 2: Convert to fraction form
   3,160.82/4,741.52 = 820.82/x
3. Step 3: Cross multiply
   3,160.82x = 4,741.52 × 820.82
4. Step 4: Simplify right side
   3,160.82x = 3,891,934.45
5. Step 5: Solve for x
   x = 3,891,934.45/3,160.82
6. Step 6: Final answer
   x = 1,231.31