Finding the Fourth Proportional to 10,568.48, 15,881.40 and 5,641.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,568.48 : 15,881.40 = 5,641.65 : x
2. Step 2: Convert to fraction form
   10,568.48/15,881.40 = 5,641.65/x
3. Step 3: Cross multiply
   10,568.48x = 15,881.40 × 5,641.65
4. Step 4: Simplify right side
   10,568.48x = 89,597,300.31
5. Step 5: Solve for x
   x = 89,597,300.31/10,568.48
6. Step 6: Final answer
   x = 8,477.79