Finding the Fourth Proportional to 10,359.13, 14,296.04 and 5,643.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.13 : 14,296.04 = 5,643.67 : x
2. Step 2: Convert to fraction form
   10,359.13/14,296.04 = 5,643.67/x
3. Step 3: Cross multiply
   10,359.13x = 14,296.04 × 5,643.67
4. Step 4: Simplify right side
   10,359.13x = 80,682,132.07
5. Step 5: Solve for x
   x = 80,682,132.07/10,359.13
6. Step 6: Final answer
   x = 7,788.50