Finding the Fourth Proportional to 7,185.98, 10,777.82 and 3,678.59

Step by Step Solution

1. Step 1: Write the proportion equation
   7,185.98 : 10,777.82 = 3,678.59 : x
2. Step 2: Convert to fraction form
   7,185.98/10,777.82 = 3,678.59/x
3. Step 3: Cross multiply
   7,185.98x = 10,777.82 × 3,678.59
4. Step 4: Simplify right side
   7,185.98x = 39,647,189.43
5. Step 5: Solve for x
   x = 39,647,189.43/7,185.98
6. Step 6: Final answer
   x = 5,517.30