Finding the Fourth Proportional to 9,142.55, 12,616.59 and 5,164.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.55 : 12,616.59 = 5,164.94 : x
2. Step 2: Convert to fraction form
   9,142.55/12,616.59 = 5,164.94/x
3. Step 3: Cross multiply
   9,142.55x = 12,616.59 × 5,164.94
4. Step 4: Simplify right side
   9,142.55x = 65,163,930.35
5. Step 5: Solve for x
   x = 65,163,930.35/9,142.55
6. Step 6: Final answer
   x = 7,127.54