Finding the Fourth Proportional to 9,114.24, 12,578.22 and 5,135.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.24 : 12,578.22 = 5,135.52 : x
2. Step 2: Convert to fraction form
   9,114.24/12,578.22 = 5,135.52/x
3. Step 3: Cross multiply
   9,114.24x = 12,578.22 × 5,135.52
4. Step 4: Simplify right side
   9,114.24x = 64,595,700.37
5. Step 5: Solve for x
   x = 64,595,700.37/9,114.24
6. Step 6: Final answer
   x = 7,087.34