Finding the Fourth Proportional to 10,355.96, 14,291.39 and 5,640.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,355.96 : 14,291.39 = 5,640.24 : x
2. Step 2: Convert to fraction form
   10,355.96/14,291.39 = 5,640.24/x
3. Step 3: Cross multiply
   10,355.96x = 14,291.39 × 5,640.24
4. Step 4: Simplify right side
   10,355.96x = 80,606,841.33
5. Step 5: Solve for x
   x = 80,606,841.33/10,355.96
6. Step 6: Final answer
   x = 7,783.62