Finding the Fourth Proportional to 7,002.10, 9,662.84 and 3,858.28

Step by Step Solution

1. Step 1: Write the proportion equation
   7,002.10 : 9,662.84 = 3,858.28 : x
2. Step 2: Convert to fraction form
   7,002.10/9,662.84 = 3,858.28/x
3. Step 3: Cross multiply
   7,002.10x = 9,662.84 × 3,858.28
4. Step 4: Simplify right side
   7,002.10x = 37,281,989.39
5. Step 5: Solve for x
   x = 37,281,989.39/7,002.10
6. Step 6: Final answer
   x = 5,324.40