Finding the Fourth Proportional to 10,355.30, 14,290.32 and 5,639.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,355.30 : 14,290.32 = 5,639.56 : x
2. Step 2: Convert to fraction form
   10,355.30/14,290.32 = 5,639.56/x
3. Step 3: Cross multiply
   10,355.30x = 14,290.32 × 5,639.56
4. Step 4: Simplify right side
   10,355.30x = 80,591,117.06
5. Step 5: Solve for x
   x = 80,591,117.06/10,355.30
6. Step 6: Final answer
   x = 7,782.60