Finding the Fourth Proportional to 7,002.09, 9,662.89 and 3,858.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,002.09 : 9,662.89 = 3,858.25 : x
2. Step 2: Convert to fraction form
   7,002.09/9,662.89 = 3,858.25/x
3. Step 3: Cross multiply
   7,002.09x = 9,662.89 × 3,858.25
4. Step 4: Simplify right side
   7,002.09x = 37,281,845.34
5. Step 5: Solve for x
   x = 37,281,845.34/7,002.09
6. Step 6: Final answer
   x = 5,324.39