Finding the Fourth Proportional to 6,685.97, 10,019.37 and 3,758.12

Step by Step Solution

1. Step 1: Write the proportion equation
   6,685.97 : 10,019.37 = 3,758.12 : x
2. Step 2: Convert to fraction form
   6,685.97/10,019.37 = 3,758.12/x
3. Step 3: Cross multiply
   6,685.97x = 10,019.37 × 3,758.12
4. Step 4: Simplify right side
   6,685.97x = 37,653,944.69
5. Step 5: Solve for x
   x = 37,653,944.69/6,685.97
6. Step 6: Final answer
   x = 5,631.79