Finding the Fourth Proportional to 10,359.70, 14,296.41 and 5,643.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.70 : 14,296.41 = 5,643.88 : x
2. Step 2: Convert to fraction form
   10,359.70/14,296.41 = 5,643.88/x
3. Step 3: Cross multiply
   10,359.70x = 14,296.41 × 5,643.88
4. Step 4: Simplify right side
   10,359.70x = 80,687,222.47
5. Step 5: Solve for x
   x = 80,687,222.47/10,359.70
6. Step 6: Final answer
   x = 7,788.57