Finding the Fourth Proportional to 6,562.89, 9,056.61 and 3,578.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,562.89 : 9,056.61 = 3,578.78 : x
2. Step 2: Convert to fraction form
   6,562.89/9,056.61 = 3,578.78/x
3. Step 3: Cross multiply
   6,562.89x = 9,056.61 × 3,578.78
4. Step 4: Simplify right side
   6,562.89x = 32,411,569.45
5. Step 5: Solve for x
   x = 32,411,569.45/6,562.89
6. Step 6: Final answer
   x = 4,938.62