Finding the Fourth Proportional to 6,601.62, 9,904.70 and 3,830.71

Step by Step Solution

1. Step 1: Write the proportion equation
   6,601.62 : 9,904.70 = 3,830.71 : x
2. Step 2: Convert to fraction form
   6,601.62/9,904.70 = 3,830.71/x
3. Step 3: Cross multiply
   6,601.62x = 9,904.70 × 3,830.71
4. Step 4: Simplify right side
   6,601.62x = 37,942,018.15
5. Step 5: Solve for x
   x = 37,942,018.15/6,601.62
6. Step 6: Final answer
   x = 5,747.38