Finding the Fourth Proportional to 10,359.29, 14,295.83 and 5,643.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.29 : 14,295.83 = 5,643.56 : x
2. Step 2: Convert to fraction form
   10,359.29/14,295.83 = 5,643.56/x
3. Step 3: Cross multiply
   10,359.29x = 14,295.83 × 5,643.56
4. Step 4: Simplify right side
   10,359.29x = 80,679,381.88
5. Step 5: Solve for x
   x = 80,679,381.88/10,359.29
6. Step 6: Final answer
   x = 7,788.12