Finding the Fourth Proportional to 3,828.56, 5,283.30 and 2,149.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.56 : 5,283.30 = 2,149.82 : x
2. Step 2: Convert to fraction form
   3,828.56/5,283.30 = 2,149.82/x
3. Step 3: Cross multiply
   3,828.56x = 5,283.30 × 2,149.82
4. Step 4: Simplify right side
   3,828.56x = 11,358,144.01
5. Step 5: Solve for x
   x = 11,358,144.01/3,828.56
6. Step 6: Final answer
   x = 2,966.69