Finding the Fourth Proportional to 10,356.27, 14,291.81 and 5,640.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.27 : 14,291.81 = 5,640.54 : x
2. Step 2: Convert to fraction form
   10,356.27/14,291.81 = 5,640.54/x
3. Step 3: Cross multiply
   10,356.27x = 14,291.81 × 5,640.54
4. Step 4: Simplify right side
   10,356.27x = 80,613,497.77
5. Step 5: Solve for x
   x = 80,613,497.77/10,356.27
6. Step 6: Final answer
   x = 7,784.03