Finding the Fourth Proportional to 3,684.50, 5,084.61 and 2,028.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.50 : 5,084.61 = 2,028.50 : x
2. Step 2: Convert to fraction form
   3,684.50/5,084.61 = 2,028.50/x
3. Step 3: Cross multiply
   3,684.50x = 5,084.61 × 2,028.50
4. Step 4: Simplify right side
   3,684.50x = 10,314,131.39
5. Step 5: Solve for x
   x = 10,314,131.39/3,684.50
6. Step 6: Final answer
   x = 2,799.33