Finding the Fourth Proportional to 9,514.72, 13,133.60 and 5,537.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514.72 : 13,133.60 = 5,537.08 : x
2. Step 2: Convert to fraction form
   9,514.72/13,133.60 = 5,537.08/x
3. Step 3: Cross multiply
   9,514.72x = 13,133.60 × 5,537.08
4. Step 4: Simplify right side
   9,514.72x = 72,721,793.89
5. Step 5: Solve for x
   x = 72,721,793.89/9,514.72
6. Step 6: Final answer
   x = 7,643.08