Finding the Fourth Proportional to 9,514.75, 13,133.83 and 5,738.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514.75 : 13,133.83 = 5,738.07 : x
2. Step 2: Convert to fraction form
   9,514.75/13,133.83 = 5,738.07/x
3. Step 3: Cross multiply
   9,514.75x = 13,133.83 × 5,738.07
4. Step 4: Simplify right side
   9,514.75x = 75,362,835.91
5. Step 5: Solve for x
   x = 75,362,835.91/9,514.75
6. Step 6: Final answer
   x = 7,920.63