Finding the Fourth Proportional to 7,002.28, 9,662.56 and 3,858.46

Step by Step Solution

1. Step 1: Write the proportion equation
   7,002.28 : 9,662.56 = 3,858.46 : x
2. Step 2: Convert to fraction form
   7,002.28/9,662.56 = 3,858.46/x
3. Step 3: Cross multiply
   7,002.28x = 9,662.56 × 3,858.46
4. Step 4: Simplify right side
   7,002.28x = 37,282,601.26
5. Step 5: Solve for x
   x = 37,282,601.26/7,002.28
6. Step 6: Final answer
   x = 5,324.35