Finding the Fourth Proportional to 10,359.66, 14,296.17 and 5,643.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.66 : 14,296.17 = 5,643.84 : x
2. Step 2: Convert to fraction form
   10,359.66/14,296.17 = 5,643.84/x
3. Step 3: Cross multiply
   10,359.66x = 14,296.17 × 5,643.84
4. Step 4: Simplify right side
   10,359.66x = 80,685,296.09
5. Step 5: Solve for x
   x = 80,685,296.09/10,359.66
6. Step 6: Final answer
   x = 7,788.41