Finding the Fourth Proportional to 9,176.65, 12,664.61 and 5,641.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,176.65 : 12,664.61 = 5,641.27 : x
2. Step 2: Convert to fraction form
   9,176.65/12,664.61 = 5,641.27/x
3. Step 3: Cross multiply
   9,176.65x = 12,664.61 × 5,641.27
4. Step 4: Simplify right side
   9,176.65x = 71,444,484.45
5. Step 5: Solve for x
   x = 71,444,484.45/9,176.65
6. Step 6: Final answer
   x = 7,785.46