Finding the Fourth Proportional to 9,136.51, 12,607.68 and 5,158.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,136.51 : 12,607.68 = 5,158.02 : x
2. Step 2: Convert to fraction form
   9,136.51/12,607.68 = 5,158.02/x
3. Step 3: Cross multiply
   9,136.51x = 12,607.68 × 5,158.02
4. Step 4: Simplify right side
   9,136.51x = 65,030,602.56
5. Step 5: Solve for x
   x = 65,030,602.56/9,136.51
6. Step 6: Final answer
   x = 7,117.66