Finding the Fourth Proportional to 3,888.64, 5,854.88 and 3,429.28

Step by Step Solution

1. Step 1: Write the proportion equation
   3,888.64 : 5,854.88 = 3,429.28 : x
2. Step 2: Convert to fraction form
   3,888.64/5,854.88 = 3,429.28/x
3. Step 3: Cross multiply
   3,888.64x = 5,854.88 × 3,429.28
4. Step 4: Simplify right side
   3,888.64x = 20,078,022.89
5. Step 5: Solve for x
   x = 20,078,022.89/3,888.64
6. Step 6: Final answer
   x = 5,163.25