Finding the Fourth Proportional to 3,684.21, 5,084.01 and 2,005.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.21 : 5,084.01 = 2,005.57 : x
2. Step 2: Convert to fraction form
   3,684.21/5,084.01 = 2,005.57/x
3. Step 3: Cross multiply
   3,684.21x = 5,084.01 × 2,005.57
4. Step 4: Simplify right side
   3,684.21x = 10,196,337.94
5. Step 5: Solve for x
   x = 10,196,337.94/3,684.21
6. Step 6: Final answer
   x = 2,767.58