Finding the Fourth Proportional to 10,356.27, 14,291.74 and 5,640.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.27 : 14,291.74 = 5,640.55 : x
2. Step 2: Convert to fraction form
   10,356.27/14,291.74 = 5,640.55/x
3. Step 3: Cross multiply
   10,356.27x = 14,291.74 × 5,640.55
4. Step 4: Simplify right side
   10,356.27x = 80,613,245.38
5. Step 5: Solve for x
   x = 80,613,245.38/10,356.27
6. Step 6: Final answer
   x = 7,784.01