Finding the Fourth Proportional to 10,778.42, 16,178.52 and 7,661.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,778.42 : 16,178.52 = 7,661.95 : x
2. Step 2: Convert to fraction form
   10,778.42/16,178.52 = 7,661.95/x
3. Step 3: Cross multiply
   10,778.42x = 16,178.52 × 7,661.95
4. Step 4: Simplify right side
   10,778.42x = 123,959,011.31
5. Step 5: Solve for x
   x = 123,959,011.31/10,778.42
6. Step 6: Final answer
   x = 11,500.67