Finding the Fourth Proportional to 10,127.67, 15,196.84 and 5,197.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,127.67 : 15,196.84 = 5,197.31 : x
2. Step 2: Convert to fraction form
   10,127.67/15,196.84 = 5,197.31/x
3. Step 3: Cross multiply
   10,127.67x = 15,196.84 × 5,197.31
4. Step 4: Simplify right side
   10,127.67x = 78,982,723.74
5. Step 5: Solve for x
   x = 78,982,723.74/10,127.67
6. Step 6: Final answer
   x = 7,798.70