Finding the Fourth Proportional to 5,676.69, 7,829.64 and 3,908.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,676.69 : 7,829.64 = 3,908.86 : x
2. Step 2: Convert to fraction form
   5,676.69/7,829.64 = 3,908.86/x
3. Step 3: Cross multiply
   5,676.69x = 7,829.64 × 3,908.86
4. Step 4: Simplify right side
   5,676.69x = 30,604,947.07
5. Step 5: Solve for x
   x = 30,604,947.07/5,676.69
6. Step 6: Final answer
   x = 5,391.34