Finding the Fourth Proportional to 3,854.88, 5,742.54 and 3,615.84

Step by Step Solution

1. Step 1: Write the proportion equation
   3,854.88 : 5,742.54 = 3,615.84 : x
2. Step 2: Convert to fraction form
   3,854.88/5,742.54 = 3,615.84/x
3. Step 3: Cross multiply
   3,854.88x = 5,742.54 × 3,615.84
4. Step 4: Simplify right side
   3,854.88x = 20,764,105.83
5. Step 5: Solve for x
   x = 20,764,105.83/3,854.88
6. Step 6: Final answer
   x = 5,386.45