Finding the Fourth Proportional to 9,136.35, 12,607.57 and 5,156.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,136.35 : 12,607.57 = 5,156.92 : x
2. Step 2: Convert to fraction form
   9,136.35/12,607.57 = 5,156.92/x
3. Step 3: Cross multiply
   9,136.35x = 12,607.57 × 5,156.92
4. Step 4: Simplify right side
   9,136.35x = 65,016,229.88
5. Step 5: Solve for x
   x = 65,016,229.88/9,136.35
6. Step 6: Final answer
   x = 7,116.21