Finding the Fourth Proportional to 10,354.86, 14,289.56 and 5,639.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.86 : 14,289.56 = 5,639.14 : x
2. Step 2: Convert to fraction form
   10,354.86/14,289.56 = 5,639.14/x
3. Step 3: Cross multiply
   10,354.86x = 14,289.56 × 5,639.14
4. Step 4: Simplify right side
   10,354.86x = 80,580,829.38
5. Step 5: Solve for x
   x = 80,580,829.38/10,354.86
6. Step 6: Final answer
   x = 7,781.93