Finding the Fourth Proportional to 10,795.98, 16,198.62 and 7,837.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,795.98 : 16,198.62 = 7,837.71 : x
2. Step 2: Convert to fraction form
   10,795.98/16,198.62 = 7,837.71/x
3. Step 3: Cross multiply
   10,795.98x = 16,198.62 × 7,837.71
4. Step 4: Simplify right side
   10,795.98x = 126,960,085.96
5. Step 5: Solve for x
   x = 126,960,085.96/10,795.98
6. Step 6: Final answer
   x = 11,759.94