Finding the Fourth Proportional to 11,795.72, 16,284.80 and 7,822.20

Step by Step Solution

1. Step 1: Write the proportion equation
   11,795.72 : 16,284.80 = 7,822.20 : x
2. Step 2: Convert to fraction form
   11,795.72/16,284.80 = 7,822.20/x
3. Step 3: Cross multiply
   11,795.72x = 16,284.80 × 7,822.20
4. Step 4: Simplify right side
   11,795.72x = 127,382,923.45
5. Step 5: Solve for x
   x = 127,382,923.45/11,795.72
6. Step 6: Final answer
   x = 10,799.08