Finding the Fourth Proportional to 1,378.64, 2,067.86 and 404.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.64 : 2,067.86 = 404.82 : x
2. Step 2: Convert to fraction form
   1,378.64/2,067.86 = 404.82/x
3. Step 3: Cross multiply
   1,378.64x = 2,067.86 × 404.82
4. Step 4: Simplify right side
   1,378.64x = 837,112.10
5. Step 5: Solve for x
   x = 837,112.10/1,378.64
6. Step 6: Final answer
   x = 607.20