Finding the Fourth Proportional to 9,537.72, 14,315.88 and 5,164.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,537.72 : 14,315.88 = 5,164.52 : x
2. Step 2: Convert to fraction form
   9,537.72/14,315.88 = 5,164.52/x
3. Step 3: Cross multiply
   9,537.72x = 14,315.88 × 5,164.52
4. Step 4: Simplify right side
   9,537.72x = 73,934,648.58
5. Step 5: Solve for x
   x = 73,934,648.58/9,537.72
6. Step 6: Final answer
   x = 7,751.82