Finding the Fourth Proportional to 3,699.20, 5,519.82 and 3,677.60

Step by Step Solution

1. Step 1: Write the proportion equation
   3,699.20 : 5,519.82 = 3,677.60 : x
2. Step 2: Convert to fraction form
   3,699.20/5,519.82 = 3,677.60/x
3. Step 3: Cross multiply
   3,699.20x = 5,519.82 × 3,677.60
4. Step 4: Simplify right side
   3,699.20x = 20,299,690.03
5. Step 5: Solve for x
   x = 20,299,690.03/3,699.20
6. Step 6: Final answer
   x = 5,487.59