Finding the Fourth Proportional to 13,538.69, 20,300.69 and 6,139.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,538.69 : 20,300.69 = 6,139.10 : x
2. Step 2: Convert to fraction form
   13,538.69/20,300.69 = 6,139.10/x
3. Step 3: Cross multiply
   13,538.69x = 20,300.69 × 6,139.10
4. Step 4: Simplify right side
   13,538.69x = 124,627,833.78
5. Step 5: Solve for x
   x = 124,627,833.78/13,538.69
6. Step 6: Final answer
   x = 9,205.31