Finding the Fourth Proportional to 3,684.12, 5,084.12 and 2,005.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.12 : 5,084.12 = 2,005.57 : x
2. Step 2: Convert to fraction form
   3,684.12/5,084.12 = 2,005.57/x
3. Step 3: Cross multiply
   3,684.12x = 5,084.12 × 2,005.57
4. Step 4: Simplify right side
   3,684.12x = 10,196,558.55
5. Step 5: Solve for x
   x = 10,196,558.55/3,684.12
6. Step 6: Final answer
   x = 2,767.71