Finding the Fourth Proportional to 3,839.64, 5,760.54 and 2,084.28

Step by Step Solution

1. Step 1: Write the proportion equation
   3,839.64 : 5,760.54 = 2,084.28 : x
2. Step 2: Convert to fraction form
   3,839.64/5,760.54 = 2,084.28/x
3. Step 3: Cross multiply
   3,839.64x = 5,760.54 × 2,084.28
4. Step 4: Simplify right side
   3,839.64x = 12,006,578.31
5. Step 5: Solve for x
   x = 12,006,578.31/3,839.64
6. Step 6: Final answer
   x = 3,127.01