Finding the Fourth Proportional to 9,142.30, 12,614.26 and 5,365.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.30 : 12,614.26 = 5,365.28 : x
2. Step 2: Convert to fraction form
   9,142.30/12,614.26 = 5,365.28/x
3. Step 3: Cross multiply
   9,142.30x = 12,614.26 × 5,365.28
4. Step 4: Simplify right side
   9,142.30x = 67,679,036.89
5. Step 5: Solve for x
   x = 67,679,036.89/9,142.30
6. Step 6: Final answer
   x = 7,402.85