Finding the Fourth Proportional to 10,359.21, 14,295.71 and 5,643.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.21 : 14,295.71 = 5,643.49 : x
2. Step 2: Convert to fraction form
   10,359.21/14,295.71 = 5,643.49/x
3. Step 3: Cross multiply
   10,359.21x = 14,295.71 × 5,643.49
4. Step 4: Simplify right side
   10,359.21x = 80,677,696.43
5. Step 5: Solve for x
   x = 80,677,696.43/10,359.21
6. Step 6: Final answer
   x = 7,788.02