Finding the Fourth Proportional to 9,514.21, 13,134.78 and 5,738.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514.21 : 13,134.78 = 5,738.05 : x
2. Step 2: Convert to fraction form
   9,514.21/13,134.78 = 5,738.05/x
3. Step 3: Cross multiply
   9,514.21x = 13,134.78 × 5,738.05
4. Step 4: Simplify right side
   9,514.21x = 75,368,024.38
5. Step 5: Solve for x
   x = 75,368,024.38/9,514.21
6. Step 6: Final answer
   x = 7,921.63