Finding the Fourth Proportional to 10,359.35, 14,296.06 and 5,643.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.35 : 14,296.06 = 5,643.63 : x
2. Step 2: Convert to fraction form
   10,359.35/14,296.06 = 5,643.63/x
3. Step 3: Cross multiply
   10,359.35x = 14,296.06 × 5,643.63
4. Step 4: Simplify right side
   10,359.35x = 80,681,673.10
5. Step 5: Solve for x
   x = 80,681,673.10/10,359.35
6. Step 6: Final answer
   x = 7,788.29