Finding the Fourth Proportional to 2,137.38, 3,205.62 and 820.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,137.38 : 3,205.62 = 820.71 : x
2. Step 2: Convert to fraction form
   2,137.38/3,205.62 = 820.71/x
3. Step 3: Cross multiply
   2,137.38x = 3,205.62 × 820.71
4. Step 4: Simplify right side
   2,137.38x = 2,630,884.39
5. Step 5: Solve for x
   x = 2,630,884.39/2,137.38
6. Step 6: Final answer
   x = 1,230.89