Finding the Fourth Proportional to 3,684.14, 5,084.06 and 2,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.14 : 5,084.06 = 2,005.50 : x
2. Step 2: Convert to fraction form
   3,684.14/5,084.06 = 2,005.50/x
3. Step 3: Cross multiply
   3,684.14x = 5,084.06 × 2,005.50
4. Step 4: Simplify right side
   3,684.14x = 10,196,082.33
5. Step 5: Solve for x
   x = 10,196,082.33/3,684.14
6. Step 6: Final answer
   x = 2,767.56