Finding the Fourth Proportional to 9,514.65, 13,131.27 and 5,537.97

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514.65 : 13,131.27 = 5,537.97 : x
2. Step 2: Convert to fraction form
   9,514.65/13,131.27 = 5,537.97/x
3. Step 3: Cross multiply
   9,514.65x = 13,131.27 × 5,537.97
4. Step 4: Simplify right side
   9,514.65x = 72,720,579.32
5. Step 5: Solve for x
   x = 72,720,579.32/9,514.65
6. Step 6: Final answer
   x = 7,643.01