Finding the Fourth Proportional to 6,829.89, 9,425.93 and 3,997.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,829.89 : 9,425.93 = 3,997.10 : x
2. Step 2: Convert to fraction form
   6,829.89/9,425.93 = 3,997.10/x
3. Step 3: Cross multiply
   6,829.89x = 9,425.93 × 3,997.10
4. Step 4: Simplify right side
   6,829.89x = 37,676,359.86
5. Step 5: Solve for x
   x = 37,676,359.86/6,829.89
6. Step 6: Final answer
   x = 5,516.39