Finding the Fourth Proportional to 3,665.86, 5,496.73 and 1,200.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.86 : 5,496.73 = 1,200.02 : x
2. Step 2: Convert to fraction form
   3,665.86/5,496.73 = 1,200.02/x
3. Step 3: Cross multiply
   3,665.86x = 5,496.73 × 1,200.02
4. Step 4: Simplify right side
   3,665.86x = 6,596,155.45
5. Step 5: Solve for x
   x = 6,596,155.45/3,665.86
6. Step 6: Final answer
   x = 1,799.35