Finding the Fourth Proportional to 10,824.90, 14,938.56 and 6,108.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824.90 : 14,938.56 = 6,108.27 : x
2. Step 2: Convert to fraction form
   10,824.90/14,938.56 = 6,108.27/x
3. Step 3: Cross multiply
   10,824.90x = 14,938.56 × 6,108.27
4. Step 4: Simplify right side
   10,824.90x = 91,248,757.89
5. Step 5: Solve for x
   x = 91,248,757.89/10,824.90
6. Step 6: Final answer
   x = 8,429.52