Finding the Fourth Proportional to 10,289.86, 14,199.17 and 5,814

Step by Step Solution

1. Step 1: Write the proportion equation
   10,289.86 : 14,199.17 = 5,814 : x
2. Step 2: Convert to fraction form
   10,289.86/14,199.17 = 5,814/x
3. Step 3: Cross multiply
   10,289.86x = 14,199.17 × 5,814
4. Step 4: Simplify right side
   10,289.86x = 82,553,945.31
5. Step 5: Solve for x
   x = 82,553,945.31/10,289.86
6. Step 6: Final answer
   x = 8,022.84