Finding the Fourth Proportional to 3,665.17, 5,498.42 and 1,200.12

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.17 : 5,498.42 = 1,200.12 : x
2. Step 2: Convert to fraction form
   3,665.17/5,498.42 = 1,200.12/x
3. Step 3: Cross multiply
   3,665.17x = 5,498.42 × 1,200.12
4. Step 4: Simplify right side
   3,665.17x = 6,598,737.19
5. Step 5: Solve for x
   x = 6,598,737.19/3,665.17
6. Step 6: Final answer
   x = 1,800.39