Finding the Fourth Proportional to 6,710.78, 10,076.69 and 5,684.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,710.78 : 10,076.69 = 5,684.24 : x
2. Step 2: Convert to fraction form
   6,710.78/10,076.69 = 5,684.24/x
3. Step 3: Cross multiply
   6,710.78x = 10,076.69 × 5,684.24
4. Step 4: Simplify right side
   6,710.78x = 57,278,288.19
5. Step 5: Solve for x
   x = 57,278,288.19/6,710.78
6. Step 6: Final answer
   x = 8,535.27