Finding the Fourth Proportional to 9,313.72, 12,853.96 and 5,537.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,313.72 : 12,853.96 = 5,537.80 : x
2. Step 2: Convert to fraction form
   9,313.72/12,853.96 = 5,537.80/x
3. Step 3: Cross multiply
   9,313.72x = 12,853.96 × 5,537.80
4. Step 4: Simplify right side
   9,313.72x = 71,182,659.69
5. Step 5: Solve for x
   x = 71,182,659.69/9,313.72
6. Step 6: Final answer
   x = 7,642.77