Finding the Fourth Proportional to 9,142.15, 12,616.23 and 5,786.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.15 : 12,616.23 = 5,786.41 : x
2. Step 2: Convert to fraction form
   9,142.15/12,616.23 = 5,786.41/x
3. Step 3: Cross multiply
   9,142.15x = 12,616.23 × 5,786.41
4. Step 4: Simplify right side
   9,142.15x = 73,002,679.43
5. Step 5: Solve for x
   x = 73,002,679.43/9,142.15
6. Step 6: Final answer
   x = 7,985.29