Finding the Fourth Proportional to 10,354.94, 14,289.83 and 5,639.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.94 : 14,289.83 = 5,639.23 : x
2. Step 2: Convert to fraction form
   10,354.94/14,289.83 = 5,639.23/x
3. Step 3: Cross multiply
   10,354.94x = 14,289.83 × 5,639.23
4. Step 4: Simplify right side
   10,354.94x = 80,583,638.03
5. Step 5: Solve for x
   x = 80,583,638.03/10,354.94
6. Step 6: Final answer
   x = 7,782.14