Finding the Fourth Proportional to 9,114.59, 12,577.77 and 5,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.59 : 12,577.77 = 5,136.50 : x
2. Step 2: Convert to fraction form
   9,114.59/12,577.77 = 5,136.50/x
3. Step 3: Cross multiply
   9,114.59x = 12,577.77 × 5,136.50
4. Step 4: Simplify right side
   9,114.59x = 64,605,652.72
5. Step 5: Solve for x
   x = 64,605,652.72/9,114.59
6. Step 6: Final answer
   x = 7,088.16