Finding the Fourth Proportional to 10,355.27, 14,290.29 and 5,639.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,355.27 : 14,290.29 = 5,639.57 : x
2. Step 2: Convert to fraction form
   10,355.27/14,290.29 = 5,639.57/x
3. Step 3: Cross multiply
   10,355.27x = 14,290.29 × 5,639.57
4. Step 4: Simplify right side
   10,355.27x = 80,591,090.78
5. Step 5: Solve for x
   x = 80,591,090.78/10,355.27
6. Step 6: Final answer
   x = 7,782.62