Finding the Fourth Proportional to 10,266.09, 15,404.91 and 5,586.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,266.09 : 15,404.91 = 5,586.42 : x
2. Step 2: Convert to fraction form
   10,266.09/15,404.91 = 5,586.42/x
3. Step 3: Cross multiply
   10,266.09x = 15,404.91 × 5,586.42
4. Step 4: Simplify right side
   10,266.09x = 86,058,297.32
5. Step 5: Solve for x
   x = 86,058,297.32/10,266.09
6. Step 6: Final answer
   x = 8,382.77