Finding the Fourth Proportional to 9,638.04, 13,297.47 and 5,388.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.04 : 13,297.47 = 5,388.53 : x
2. Step 2: Convert to fraction form
   9,638.04/13,297.47 = 5,388.53/x
3. Step 3: Cross multiply
   9,638.04x = 13,297.47 × 5,388.53
4. Step 4: Simplify right side
   9,638.04x = 71,653,729.32
5. Step 5: Solve for x
   x = 71,653,729.32/9,638.04
6. Step 6: Final answer
   x = 7,434.47