Finding the Fourth Proportional to 10,371.37, 15,538.42 and 5,686.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,371.37 : 15,538.42 = 5,686.33 : x
2. Step 2: Convert to fraction form
   10,371.37/15,538.42 = 5,686.33/x
3. Step 3: Cross multiply
   10,371.37x = 15,538.42 × 5,686.33
4. Step 4: Simplify right side
   10,371.37x = 88,356,583.80
5. Step 5: Solve for x
   x = 88,356,583.80/10,371.37
6. Step 6: Final answer
   x = 8,519.28