Finding the Fourth Proportional to 10,355.72, 14,291.04 and 5,640

Step by Step Solution

1. Step 1: Write the proportion equation
   10,355.72 : 14,291.04 = 5,640 : x
2. Step 2: Convert to fraction form
   10,355.72/14,291.04 = 5,640/x
3. Step 3: Cross multiply
   10,355.72x = 14,291.04 × 5,640
4. Step 4: Simplify right side
   10,355.72x = 80,601,465.60
5. Step 5: Solve for x
   x = 80,601,465.60/10,355.72
6. Step 6: Final answer
   x = 7,783.28