Finding the Fourth Proportional to 9,538.16, 13,162.43 and 5,289.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.16 : 13,162.43 = 5,289.24 : x
2. Step 2: Convert to fraction form
   9,538.16/13,162.43 = 5,289.24/x
3. Step 3: Cross multiply
   9,538.16x = 13,162.43 × 5,289.24
4. Step 4: Simplify right side
   9,538.16x = 69,619,224.81
5. Step 5: Solve for x
   x = 69,619,224.81/9,538.16
6. Step 6: Final answer
   x = 7,299.02