Finding the Fourth Proportional to 6,510.78, 8,976.42 and 4,148.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,510.78 : 8,976.42 = 4,148.82 : x
2. Step 2: Convert to fraction form
   6,510.78/8,976.42 = 4,148.82/x
3. Step 3: Cross multiply
   6,510.78x = 8,976.42 × 4,148.82
4. Step 4: Simplify right side
   6,510.78x = 37,241,550.82
5. Step 5: Solve for x
   x = 37,241,550.82/6,510.78
6. Step 6: Final answer
   x = 5,719.98