Finding the Fourth Proportional to 3,684.91, 5,085.20 and 2,006.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.91 : 5,085.20 = 2,006.31 : x
2. Step 2: Convert to fraction form
   3,684.91/5,085.20 = 2,006.31/x
3. Step 3: Cross multiply
   3,684.91x = 5,085.20 × 2,006.31
4. Step 4: Simplify right side
   3,684.91x = 10,202,487.30
5. Step 5: Solve for x
   x = 10,202,487.30/3,684.91
6. Step 6: Final answer
   x = 2,768.72