Finding the Fourth Proportional to 9,114.54, 12,578.01 and 5,338.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.54 : 12,578.01 = 5,338.41 : x
2. Step 2: Convert to fraction form
   9,114.54/12,578.01 = 5,338.41/x
3. Step 3: Cross multiply
   9,114.54x = 12,578.01 × 5,338.41
4. Step 4: Simplify right side
   9,114.54x = 67,146,574.36
5. Step 5: Solve for x
   x = 67,146,574.36/9,114.54
6. Step 6: Final answer
   x = 7,366.97