Finding the Fourth Proportional to 10,825.86, 14,939.69 and 6,111.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,825.86 : 14,939.69 = 6,111.14 : x
2. Step 2: Convert to fraction form
   10,825.86/14,939.69 = 6,111.14/x
3. Step 3: Cross multiply
   10,825.86x = 14,939.69 × 6,111.14
4. Step 4: Simplify right side
   10,825.86x = 91,298,537.15
5. Step 5: Solve for x
   x = 91,298,537.15/10,825.86
6. Step 6: Final answer
   x = 8,433.38