Finding the Fourth Proportional to 6,433.58, 9,662.25 and 3,852.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,433.58 : 9,662.25 = 3,852.38 : x
2. Step 2: Convert to fraction form
   6,433.58/9,662.25 = 3,852.38/x
3. Step 3: Cross multiply
   6,433.58x = 9,662.25 × 3,852.38
4. Step 4: Simplify right side
   6,433.58x = 37,222,610.34
5. Step 5: Solve for x
   x = 37,222,610.34/6,433.58
6. Step 6: Final answer
   x = 5,785.68