Finding the Fourth Proportional to 9,306.38, 12,842.81 and 5,114.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,306.38 : 12,842.81 = 5,114.63 : x
2. Step 2: Convert to fraction form
   9,306.38/12,842.81 = 5,114.63/x
3. Step 3: Cross multiply
   9,306.38x = 12,842.81 × 5,114.63
4. Step 4: Simplify right side
   9,306.38x = 65,686,131.52
5. Step 5: Solve for x
   x = 65,686,131.52/9,306.38
6. Step 6: Final answer
   x = 7,058.19