Finding the Fourth Proportional to 9,514.31, 13,135.02 and 5,738.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514.31 : 13,135.02 = 5,738.43 : x
2. Step 2: Convert to fraction form
   9,514.31/13,135.02 = 5,738.43/x
3. Step 3: Cross multiply
   9,514.31x = 13,135.02 × 5,738.43
4. Step 4: Simplify right side
   9,514.31x = 75,374,322.04
5. Step 5: Solve for x
   x = 75,374,322.04/9,514.31
6. Step 6: Final answer
   x = 7,922.21