Finding the Fourth Proportional to 9,114.58, 12,577.98 and 5,136.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.58 : 12,577.98 = 5,136.07 : x
2. Step 2: Convert to fraction form
   9,114.58/12,577.98 = 5,136.07/x
3. Step 3: Cross multiply
   9,114.58x = 12,577.98 × 5,136.07
4. Step 4: Simplify right side
   9,114.58x = 64,601,385.74
5. Step 5: Solve for x
   x = 64,601,385.74/9,114.58
6. Step 6: Final answer
   x = 7,087.70