Finding the Fourth Proportional to 11,796.21, 16,285.49 and 7,822.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,796.21 : 16,285.49 = 7,822.69 : x
2. Step 2: Convert to fraction form
   11,796.21/16,285.49 = 7,822.69/x
3. Step 3: Cross multiply
   11,796.21x = 16,285.49 × 7,822.69
4. Step 4: Simplify right side
   11,796.21x = 127,396,339.77
5. Step 5: Solve for x
   x = 127,396,339.77/11,796.21
6. Step 6: Final answer
   x = 10,799.77