Finding the Fourth Proportional to 10,359.23, 14,295.78 and 5,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.23 : 14,295.78 = 5,643.50 : x
2. Step 2: Convert to fraction form
   10,359.23/14,295.78 = 5,643.50/x
3. Step 3: Cross multiply
   10,359.23x = 14,295.78 × 5,643.50
4. Step 4: Simplify right side
   10,359.23x = 80,678,234.43
5. Step 5: Solve for x
   x = 80,678,234.43/10,359.23
6. Step 6: Final answer
   x = 7,788.05