Finding the Fourth Proportional to 6,338.16, 8,744.82 and 4,100.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,338.16 : 8,744.82 = 4,100.10 : x
2. Step 2: Convert to fraction form
   6,338.16/8,744.82 = 4,100.10/x
3. Step 3: Cross multiply
   6,338.16x = 8,744.82 × 4,100.10
4. Step 4: Simplify right side
   6,338.16x = 35,854,636.48
5. Step 5: Solve for x
   x = 35,854,636.48/6,338.16
6. Step 6: Final answer
   x = 5,656.95