Finding the Fourth Proportional to 6,456.93, 9,676.15 and 3,677.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456.93 : 9,676.15 = 3,677.86 : x
2. Step 2: Convert to fraction form
   6,456.93/9,676.15 = 3,677.86/x
3. Step 3: Cross multiply
   6,456.93x = 9,676.15 × 3,677.86
4. Step 4: Simplify right side
   6,456.93x = 35,587,525.04
5. Step 5: Solve for x
   x = 35,587,525.04/6,456.93
6. Step 6: Final answer
   x = 5,511.52