Finding the Fourth Proportional to 10,355.23, 14,290.26 and 5,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,355.23 : 14,290.26 = 5,639.50 : x
2. Step 2: Convert to fraction form
   10,355.23/14,290.26 = 5,639.50/x
3. Step 3: Cross multiply
   10,355.23x = 14,290.26 × 5,639.50
4. Step 4: Simplify right side
   10,355.23x = 80,589,921.27
5. Step 5: Solve for x
   x = 80,589,921.27/10,355.23
6. Step 6: Final answer
   x = 7,782.53