Finding the Fourth Proportional to 5,300.82, 7,949.71 and 2,138.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,300.82 : 7,949.71 = 2,138.25 : x
2. Step 2: Convert to fraction form
   5,300.82/7,949.71 = 2,138.25/x
3. Step 3: Cross multiply
   5,300.82x = 7,949.71 × 2,138.25
4. Step 4: Simplify right side
   5,300.82x = 16,998,467.41
5. Step 5: Solve for x
   x = 16,998,467.41/5,300.82
6. Step 6: Final answer
   x = 3,206.76