Finding the Fourth Proportional to 9,638.67, 13,300.62 and 5,389.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.67 : 13,300.62 = 5,389.53 : x
2. Step 2: Convert to fraction form
   9,638.67/13,300.62 = 5,389.53/x
3. Step 3: Cross multiply
   9,638.67x = 13,300.62 × 5,389.53
4. Step 4: Simplify right side
   9,638.67x = 71,684,090.51
5. Step 5: Solve for x
   x = 71,684,090.51/9,638.67
6. Step 6: Final answer
   x = 7,437.14