Finding the Fourth Proportional to 9,538.30, 13,163.63 and 5,290.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.30 : 13,163.63 = 5,290.69 : x
2. Step 2: Convert to fraction form
   9,538.30/13,163.63 = 5,290.69/x
3. Step 3: Cross multiply
   9,538.30x = 13,163.63 × 5,290.69
4. Step 4: Simplify right side
   9,538.30x = 69,644,659.15
5. Step 5: Solve for x
   x = 69,644,659.15/9,538.30
6. Step 6: Final answer
   x = 7,301.58