Finding the Fourth Proportional to 11,799.60, 16,288.56 and 7,813.68

Step by Step Solution

1. Step 1: Write the proportion equation
   11,799.60 : 16,288.56 = 7,813.68 : x
2. Step 2: Convert to fraction form
   11,799.60/16,288.56 = 7,813.68/x
3. Step 3: Cross multiply
   11,799.60x = 16,288.56 × 7,813.68
4. Step 4: Simplify right side
   11,799.60x = 127,273,595.50
5. Step 5: Solve for x
   x = 127,273,595.50/11,799.60
6. Step 6: Final answer
   x = 10,786.26