Finding the Fourth Proportional to 6,767.78, 10,138.23 and 5,300.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,767.78 : 10,138.23 = 5,300.06 : x
2. Step 2: Convert to fraction form
   6,767.78/10,138.23 = 5,300.06/x
3. Step 3: Cross multiply
   6,767.78x = 10,138.23 × 5,300.06
4. Step 4: Simplify right side
   6,767.78x = 53,733,176.60
5. Step 5: Solve for x
   x = 53,733,176.60/6,767.78
6. Step 6: Final answer
   x = 7,939.56