Finding the Fourth Proportional to 10,101.98, 15,136.26 and 5,164.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,101.98 : 15,136.26 = 5,164.83 : x
2. Step 2: Convert to fraction form
   10,101.98/15,136.26 = 5,164.83/x
3. Step 3: Cross multiply
   10,101.98x = 15,136.26 × 5,164.83
4. Step 4: Simplify right side
   10,101.98x = 78,176,121.14
5. Step 5: Solve for x
   x = 78,176,121.14/10,101.98
6. Step 6: Final answer
   x = 7,738.69