Finding the Fourth Proportional to 3,666, 5,499.89 and 1,200.84

Step by Step Solution

1. Step 1: Write the proportion equation
   3,666 : 5,499.89 = 1,200.84 : x
2. Step 2: Convert to fraction form
   3,666/5,499.89 = 1,200.84/x
3. Step 3: Cross multiply
   3,666x = 5,499.89 × 1,200.84
4. Step 4: Simplify right side
   3,666x = 6,604,487.91
5. Step 5: Solve for x
   x = 6,604,487.91/3,666
6. Step 6: Final answer
   x = 1,801.55