Finding the Fourth Proportional to 11,776.14, 16,253.37 and 7,797.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,776.14 : 16,253.37 = 7,797.42 : x
2. Step 2: Convert to fraction form
   11,776.14/16,253.37 = 7,797.42/x
3. Step 3: Cross multiply
   11,776.14x = 16,253.37 × 7,797.42
4. Step 4: Simplify right side
   11,776.14x = 126,734,352.31
5. Step 5: Solve for x
   x = 126,734,352.31/11,776.14
6. Step 6: Final answer
   x = 10,761.96