Finding the Fourth Proportional to 9,171.24, 12,633.69 and 7,822.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,171.24 : 12,633.69 = 7,822.47 : x
2. Step 2: Convert to fraction form
   9,171.24/12,633.69 = 7,822.47/x
3. Step 3: Cross multiply
   9,171.24x = 12,633.69 × 7,822.47
4. Step 4: Simplify right side
   9,171.24x = 98,826,661.01
5. Step 5: Solve for x
   x = 98,826,661.01/9,171.24
6. Step 6: Final answer
   x = 10,775.71