Finding the Fourth Proportional to 9,114.04, 12,578.52 and 5,136.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.04 : 12,578.52 = 5,136.10 : x
2. Step 2: Convert to fraction form
   9,114.04/12,578.52 = 5,136.10/x
3. Step 3: Cross multiply
   9,114.04x = 12,578.52 × 5,136.10
4. Step 4: Simplify right side
   9,114.04x = 64,604,536.57
5. Step 5: Solve for x
   x = 64,604,536.57/9,114.04
6. Step 6: Final answer
   x = 7,088.46