Finding the Fourth Proportional to 7,578.50, 10,458.18 and 5,188.41

Step by Step Solution

1. Step 1: Write the proportion equation
   7,578.50 : 10,458.18 = 5,188.41 : x
2. Step 2: Convert to fraction form
   7,578.50/10,458.18 = 5,188.41/x
3. Step 3: Cross multiply
   7,578.50x = 10,458.18 × 5,188.41
4. Step 4: Simplify right side
   7,578.50x = 54,261,325.69
5. Step 5: Solve for x
   x = 54,261,325.69/7,578.50
6. Step 6: Final answer
   x = 7,159.90