Finding the Fourth Proportional to 9,114.57, 12,578.04 and 5,135.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.57 : 12,578.04 = 5,135.67 : x
2. Step 2: Convert to fraction form
   9,114.57/12,578.04 = 5,135.67/x
3. Step 3: Cross multiply
   9,114.57x = 12,578.04 × 5,135.67
4. Step 4: Simplify right side
   9,114.57x = 64,596,662.69
5. Step 5: Solve for x
   x = 64,596,662.69/9,114.57
6. Step 6: Final answer
   x = 7,087.19