Finding the Fourth Proportional to 3,870.69, 5,338.10 and 3,206.39

Step by Step Solution

1. Step 1: Write the proportion equation
   3,870.69 : 5,338.10 = 3,206.39 : x
2. Step 2: Convert to fraction form
   3,870.69/5,338.10 = 3,206.39/x
3. Step 3: Cross multiply
   3,870.69x = 5,338.10 × 3,206.39
4. Step 4: Simplify right side
   3,870.69x = 17,116,011.78
5. Step 5: Solve for x
   x = 17,116,011.78/3,870.69
6. Step 6: Final answer
   x = 4,421.96