Finding the Fourth Proportional to 10,131.37, 15,196.90 and 5,198.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,131.37 : 15,196.90 = 5,198.16 : x
2. Step 2: Convert to fraction form
   10,131.37/15,196.90 = 5,198.16/x
3. Step 3: Cross multiply
   10,131.37x = 15,196.90 × 5,198.16
4. Step 4: Simplify right side
   10,131.37x = 78,995,917.70
5. Step 5: Solve for x
   x = 78,995,917.70/10,131.37
6. Step 6: Final answer
   x = 7,797.16