Finding the Fourth Proportional to 6,562.82, 9,056.69 and 3,578.58

Step by Step Solution

1. Step 1: Write the proportion equation
   6,562.82 : 9,056.69 = 3,578.58 : x
2. Step 2: Convert to fraction form
   6,562.82/9,056.69 = 3,578.58/x
3. Step 3: Cross multiply
   6,562.82x = 9,056.69 × 3,578.58
4. Step 4: Simplify right side
   6,562.82x = 32,410,071.81
5. Step 5: Solve for x
   x = 32,410,071.81/6,562.82
6. Step 6: Final answer
   x = 4,938.44