Finding the Fourth Proportional to 11,778.64, 16,256.82 and 7,799.92

Step by Step Solution

1. Step 1: Write the proportion equation
   11,778.64 : 16,256.82 = 7,799.92 : x
2. Step 2: Convert to fraction form
   11,778.64/16,256.82 = 7,799.92/x
3. Step 3: Cross multiply
   11,778.64x = 16,256.82 × 7,799.92
4. Step 4: Simplify right side
   11,778.64x = 126,801,895.45
5. Step 5: Solve for x
   x = 126,801,895.45/11,778.64
6. Step 6: Final answer
   x = 10,765.41