Finding the Fourth Proportional to 9,538.01, 13,162.61 and 5,289.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.01 : 13,162.61 = 5,289.25 : x
2. Step 2: Convert to fraction form
   9,538.01/13,162.61 = 5,289.25/x
3. Step 3: Cross multiply
   9,538.01x = 13,162.61 × 5,289.25
4. Step 4: Simplify right side
   9,538.01x = 69,620,265.79
5. Step 5: Solve for x
   x = 69,620,265.79/9,538.01
6. Step 6: Final answer
   x = 7,299.25