Finding the Fourth Proportional to 9,114.83, 12,578.32 and 5,136.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.83 : 12,578.32 = 5,136.33 : x
2. Step 2: Convert to fraction form
   9,114.83/12,578.32 = 5,136.33/x
3. Step 3: Cross multiply
   9,114.83x = 12,578.32 × 5,136.33
4. Step 4: Simplify right side
   9,114.83x = 64,606,376.68
5. Step 5: Solve for x
   x = 64,606,376.68/9,114.83
6. Step 6: Final answer
   x = 7,088.05