Finding the Fourth Proportional to 6,772.09, 10,161.78 and 5,128.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,772.09 : 10,161.78 = 5,128.24 : x
2. Step 2: Convert to fraction form
   6,772.09/10,161.78 = 5,128.24/x
3. Step 3: Cross multiply
   6,772.09x = 10,161.78 × 5,128.24
4. Step 4: Simplify right side
   6,772.09x = 52,112,046.67
5. Step 5: Solve for x
   x = 52,112,046.67/6,772.09
6. Step 6: Final answer
   x = 7,695.12