Finding the Fourth Proportional to 9,140.72, 12,614.16 and 5,161.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,140.72 : 12,614.16 = 5,161.60 : x
2. Step 2: Convert to fraction form
   9,140.72/12,614.16 = 5,161.60/x
3. Step 3: Cross multiply
   9,140.72x = 12,614.16 × 5,161.60
4. Step 4: Simplify right side
   9,140.72x = 65,109,248.26
5. Step 5: Solve for x
   x = 65,109,248.26/9,140.72
6. Step 6: Final answer
   x = 7,122.99