Finding the Fourth Proportional to 10,838.27, 16,254.15 and 5,641.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838.27 : 16,254.15 = 5,641.31 : x
2. Step 2: Convert to fraction form
   10,838.27/16,254.15 = 5,641.31/x
3. Step 3: Cross multiply
   10,838.27x = 16,254.15 × 5,641.31
4. Step 4: Simplify right side
   10,838.27x = 91,694,617.67
5. Step 5: Solve for x
   x = 91,694,617.67/10,838.27
6. Step 6: Final answer
   x = 8,460.27