Finding the Fourth Proportional to 6,377.83, 9,546.28 and 3,408.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,377.83 : 9,546.28 = 3,408.86 : x
2. Step 2: Convert to fraction form
   6,377.83/9,546.28 = 3,408.86/x
3. Step 3: Cross multiply
   6,377.83x = 9,546.28 × 3,408.86
4. Step 4: Simplify right side
   6,377.83x = 32,541,947.38
5. Step 5: Solve for x
   x = 32,541,947.38/6,377.83
6. Step 6: Final answer
   x = 5,102.36