Finding the Fourth Proportional to 10,356.48, 14,291.76 and 5,640.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.48 : 14,291.76 = 5,640.72 : x
2. Step 2: Convert to fraction form
   10,356.48/14,291.76 = 5,640.72/x
3. Step 3: Cross multiply
   10,356.48x = 14,291.76 × 5,640.72
4. Step 4: Simplify right side
   10,356.48x = 80,615,816.47
5. Step 5: Solve for x
   x = 80,615,816.47/10,356.48
6. Step 6: Final answer
   x = 7,784.09