Finding the Fourth Proportional to 10,359.64, 14,296.33 and 5,643.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.64 : 14,296.33 = 5,643.82 : x
2. Step 2: Convert to fraction form
   10,359.64/14,296.33 = 5,643.82/x
3. Step 3: Cross multiply
   10,359.64x = 14,296.33 × 5,643.82
4. Step 4: Simplify right side
   10,359.64x = 80,685,913.18
5. Step 5: Solve for x
   x = 80,685,913.18/10,359.64
6. Step 6: Final answer
   x = 7,788.49