Finding the Fourth Proportional to 9,538.20, 13,153.56 and 7,300.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.20 : 13,153.56 = 7,300.14 : x
2. Step 2: Convert to fraction form
   9,538.20/13,153.56 = 7,300.14/x
3. Step 3: Cross multiply
   9,538.20x = 13,153.56 × 7,300.14
4. Step 4: Simplify right side
   9,538.20x = 96,022,829.50
5. Step 5: Solve for x
   x = 96,022,829.50/9,538.20
6. Step 6: Final answer
   x = 10,067.19