Finding the Fourth Proportional to 10,355.16, 14,290.02 and 5,639.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,355.16 : 14,290.02 = 5,639.42 : x
2. Step 2: Convert to fraction form
   10,355.16/14,290.02 = 5,639.42/x
3. Step 3: Cross multiply
   10,355.16x = 14,290.02 × 5,639.42
4. Step 4: Simplify right side
   10,355.16x = 80,587,424.59
5. Step 5: Solve for x
   x = 80,587,424.59/10,355.16
6. Step 6: Final answer
   x = 7,782.34