Finding the Fourth Proportional to 9,142.62, 12,616.70 and 5,109.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.62 : 12,616.70 = 5,109.53 : x
2. Step 2: Convert to fraction form
   9,142.62/12,616.70 = 5,109.53/x
3. Step 3: Cross multiply
   9,142.62x = 12,616.70 × 5,109.53
4. Step 4: Simplify right side
   9,142.62x = 64,465,318.52
5. Step 5: Solve for x
   x = 64,465,318.52/9,142.62
6. Step 6: Final answer
   x = 7,051.08