Finding the Fourth Proportional to 3,684.34, 5,084.35 and 2,005.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.34 : 5,084.35 = 2,005.78 : x
2. Step 2: Convert to fraction form
   3,684.34/5,084.35 = 2,005.78/x
3. Step 3: Cross multiply
   3,684.34x = 5,084.35 × 2,005.78
4. Step 4: Simplify right side
   3,684.34x = 10,198,087.54
5. Step 5: Solve for x
   x = 10,198,087.54/3,684.34
6. Step 6: Final answer
   x = 2,767.96