Finding the Fourth Proportional to 10,827, 14,941.62 and 6,111.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,827 : 14,941.62 = 6,111.48 : x
2. Step 2: Convert to fraction form
   10,827/14,941.62 = 6,111.48/x
3. Step 3: Cross multiply
   10,827x = 14,941.62 × 6,111.48
4. Step 4: Simplify right side
   10,827x = 91,315,411.80
5. Step 5: Solve for x
   x = 91,315,411.80/10,827
6. Step 6: Final answer
   x = 8,434.05