Finding the Fourth Proportional to 9,288.27, 13,897.49 and 5,526.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,288.27 : 13,897.49 = 5,526.20 : x
2. Step 2: Convert to fraction form
   9,288.27/13,897.49 = 5,526.20/x
3. Step 3: Cross multiply
   9,288.27x = 13,897.49 × 5,526.20
4. Step 4: Simplify right side
   9,288.27x = 76,800,285.04
5. Step 5: Solve for x
   x = 76,800,285.04/9,288.27
6. Step 6: Final answer
   x = 8,268.52