Finding the Fourth Proportional to 9,114.18, 12,577.21 and 5,136.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.18 : 12,577.21 = 5,136.09 : x
2. Step 2: Convert to fraction form
   9,114.18/12,577.21 = 5,136.09/x
3. Step 3: Cross multiply
   9,114.18x = 12,577.21 × 5,136.09
4. Step 4: Simplify right side
   9,114.18x = 64,597,682.51
5. Step 5: Solve for x
   x = 64,597,682.51/9,114.18
6. Step 6: Final answer
   x = 7,087.60