Finding the Fourth Proportional to 9,175.65, 12,663.23 and 5,640.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,175.65 : 12,663.23 = 5,640.27 : x
2. Step 2: Convert to fraction form
   9,175.65/12,663.23 = 5,640.27/x
3. Step 3: Cross multiply
   9,175.65x = 12,663.23 × 5,640.27
4. Step 4: Simplify right side
   9,175.65x = 71,424,036.27
5. Step 5: Solve for x
   x = 71,424,036.27/9,175.65
6. Step 6: Final answer
   x = 7,784.08