Finding the Fourth Proportional to 6,782.54, 10,177.59 and 3,662.48

Step by Step Solution

1. Step 1: Write the proportion equation
   6,782.54 : 10,177.59 = 3,662.48 : x
2. Step 2: Convert to fraction form
   6,782.54/10,177.59 = 3,662.48/x
3. Step 3: Cross multiply
   6,782.54x = 10,177.59 × 3,662.48
4. Step 4: Simplify right side
   6,782.54x = 37,275,219.82
5. Step 5: Solve for x
   x = 37,275,219.82/6,782.54
6. Step 6: Final answer
   x = 5,495.76