Finding the Fourth Proportional to 3,665, 5,498.38 and 1,199.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665 : 5,498.38 = 1,199.82 : x
2. Step 2: Convert to fraction form
   3,665/5,498.38 = 1,199.82/x
3. Step 3: Cross multiply
   3,665x = 5,498.38 × 1,199.82
4. Step 4: Simplify right side
   3,665x = 6,597,066.29
5. Step 5: Solve for x
   x = 6,597,066.29/3,665
6. Step 6: Final answer
   x = 1,800.02