Finding the Fourth Proportional to 3,684.79, 5,085.15 and 2,006.29

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.79 : 5,085.15 = 2,006.29 : x
2. Step 2: Convert to fraction form
   3,684.79/5,085.15 = 2,006.29/x
3. Step 3: Cross multiply
   3,684.79x = 5,085.15 × 2,006.29
4. Step 4: Simplify right side
   3,684.79x = 10,202,285.59
5. Step 5: Solve for x
   x = 10,202,285.59/3,684.79
6. Step 6: Final answer
   x = 2,768.76