Finding the Fourth Proportional to 10,136.70, 15,186.42 and 5,978.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,136.70 : 15,186.42 = 5,978.97 : x
2. Step 2: Convert to fraction form
   10,136.70/15,186.42 = 5,978.97/x
3. Step 3: Cross multiply
   10,136.70x = 15,186.42 × 5,978.97
4. Step 4: Simplify right side
   10,136.70x = 90,799,149.59
5. Step 5: Solve for x
   x = 90,799,149.59/10,136.70
6. Step 6: Final answer
   x = 8,957.47