Finding the Fourth Proportional to 6,649.10, 9,175.82 and 3,665.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,649.10 : 9,175.82 = 3,665.05 : x
2. Step 2: Convert to fraction form
   6,649.10/9,175.82 = 3,665.05/x
3. Step 3: Cross multiply
   6,649.10x = 9,175.82 × 3,665.05
4. Step 4: Simplify right side
   6,649.10x = 33,629,774.89
5. Step 5: Solve for x
   x = 33,629,774.89/6,649.10
6. Step 6: Final answer
   x = 5,057.80