Finding the Fourth Proportional to 6,462.09, 9,696.69 and 3,175.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,462.09 : 9,696.69 = 3,175.20 : x
2. Step 2: Convert to fraction form
   6,462.09/9,696.69 = 3,175.20/x
3. Step 3: Cross multiply
   6,462.09x = 9,696.69 × 3,175.20
4. Step 4: Simplify right side
   6,462.09x = 30,788,930.09
5. Step 5: Solve for x
   x = 30,788,930.09/6,462.09
6. Step 6: Final answer
   x = 4,764.55