Finding the Fourth Proportional to 6,608.05, 9,896.86 and 3,827.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,608.05 : 9,896.86 = 3,827.82 : x
2. Step 2: Convert to fraction form
   6,608.05/9,896.86 = 3,827.82/x
3. Step 3: Cross multiply
   6,608.05x = 9,896.86 × 3,827.82
4. Step 4: Simplify right side
   6,608.05x = 37,883,389.08
5. Step 5: Solve for x
   x = 37,883,389.08/6,608.05
6. Step 6: Final answer
   x = 5,732.92