Finding the Fourth Proportional to 3,684.69, 5,084.73 and 2,006.04

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.69 : 5,084.73 = 2,006.04 : x
2. Step 2: Convert to fraction form
   3,684.69/5,084.73 = 2,006.04/x
3. Step 3: Cross multiply
   3,684.69x = 5,084.73 × 2,006.04
4. Step 4: Simplify right side
   3,684.69x = 10,200,171.77
5. Step 5: Solve for x
   x = 10,200,171.77/3,684.69
6. Step 6: Final answer
   x = 2,768.26