Finding the Fourth Proportional to 6,562.72, 9,056.49 and 3,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,562.72 : 9,056.49 = 3,578.50 : x
2. Step 2: Convert to fraction form
   6,562.72/9,056.49 = 3,578.50/x
3. Step 3: Cross multiply
   6,562.72x = 9,056.49 × 3,578.50
4. Step 4: Simplify right side
   6,562.72x = 32,408,649.47
5. Step 5: Solve for x
   x = 32,408,649.47/6,562.72
6. Step 6: Final answer
   x = 4,938.30