Finding the Fourth Proportional to 9,113.46, 12,578.67 and 5,578.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,113.46 : 12,578.67 = 5,578.62 : x
2. Step 2: Convert to fraction form
   9,113.46/12,578.67 = 5,578.62/x
3. Step 3: Cross multiply
   9,113.46x = 12,578.67 × 5,578.62
4. Step 4: Simplify right side
   9,113.46x = 70,171,620.04
5. Step 5: Solve for x
   x = 70,171,620.04/9,113.46
6. Step 6: Final answer
   x = 7,699.78