Finding the Fourth Proportional to 10,359.34, 14,295.91 and 5,643.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.34 : 14,295.91 = 5,643.65 : x
2. Step 2: Convert to fraction form
   10,359.34/14,295.91 = 5,643.65/x
3. Step 3: Cross multiply
   10,359.34x = 14,295.91 × 5,643.65
4. Step 4: Simplify right side
   10,359.34x = 80,681,112.47
5. Step 5: Solve for x
   x = 80,681,112.47/10,359.34
6. Step 6: Final answer
   x = 7,788.25