Finding the Fourth Proportional to 9,142.70, 12,616.82 and 5,365.19

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.70 : 12,616.82 = 5,365.19 : x
2. Step 2: Convert to fraction form
   9,142.70/12,616.82 = 5,365.19/x
3. Step 3: Cross multiply
   9,142.70x = 12,616.82 × 5,365.19
4. Step 4: Simplify right side
   9,142.70x = 67,691,636.50
5. Step 5: Solve for x
   x = 67,691,636.50/9,142.70
6. Step 6: Final answer
   x = 7,403.90