Finding the Fourth Proportional to 3,836.16, 5,786.10 and 3,379.68

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836.16 : 5,786.10 = 3,379.68 : x
2. Step 2: Convert to fraction form
   3,836.16/5,786.10 = 3,379.68/x
3. Step 3: Cross multiply
   3,836.16x = 5,786.10 × 3,379.68
4. Step 4: Simplify right side
   3,836.16x = 19,555,166.45
5. Step 5: Solve for x
   x = 19,555,166.45/3,836.16
6. Step 6: Final answer
   x = 5,097.59