Finding the Fourth Proportional to 9,822.30, 13,523.67 and 8,267.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.30 : 13,523.67 = 8,267.10 : x
2. Step 2: Convert to fraction form
   9,822.30/13,523.67 = 8,267.10/x
3. Step 3: Cross multiply
   9,822.30x = 13,523.67 × 8,267.10
4. Step 4: Simplify right side
   9,822.30x = 111,801,532.26
5. Step 5: Solve for x
   x = 111,801,532.26/9,822.30
6. Step 6: Final answer
   x = 11,382.42