Finding the Fourth Proportional to 10,016.58, 13,823.42 and 6,038.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.58 : 13,823.42 = 6,038.26 : x
2. Step 2: Convert to fraction form
   10,016.58/13,823.42 = 6,038.26/x
3. Step 3: Cross multiply
   10,016.58x = 13,823.42 × 6,038.26
4. Step 4: Simplify right side
   10,016.58x = 83,469,404.05
5. Step 5: Solve for x
   x = 83,469,404.05/10,016.58
6. Step 6: Final answer
   x = 8,333.12