Finding the Fourth Proportional to 10,354.96, 14,289.88 and 5,639.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.96 : 14,289.88 = 5,639.24 : x
2. Step 2: Convert to fraction form
   10,354.96/14,289.88 = 5,639.24/x
3. Step 3: Cross multiply
   10,354.96x = 14,289.88 × 5,639.24
4. Step 4: Simplify right side
   10,354.96x = 80,584,062.89
5. Step 5: Solve for x
   x = 80,584,062.89/10,354.96
6. Step 6: Final answer
   x = 7,782.17