Finding the Fourth Proportional to 9,114.13, 12,577.41 and 5,136.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.13 : 12,577.41 = 5,136.52 : x
2. Step 2: Convert to fraction form
   9,114.13/12,577.41 = 5,136.52/x
3. Step 3: Cross multiply
   9,114.13x = 12,577.41 × 5,136.52
4. Step 4: Simplify right side
   9,114.13x = 64,604,118.01
5. Step 5: Solve for x
   x = 64,604,118.01/9,114.13
6. Step 6: Final answer
   x = 7,088.35