Finding the Fourth Proportional to 3,665.14, 5,498.52 and 1,067.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.14 : 5,498.52 = 1,067.86 : x
2. Step 2: Convert to fraction form
   3,665.14/5,498.52 = 1,067.86/x
3. Step 3: Cross multiply
   3,665.14x = 5,498.52 × 1,067.86
4. Step 4: Simplify right side
   3,665.14x = 5,871,649.57
5. Step 5: Solve for x
   x = 5,871,649.57/3,665.14
6. Step 6: Final answer
   x = 1,602.03