Finding the Fourth Proportional to 1,067.76, 1,600.56 and 417.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,067.76 : 1,600.56 = 417.60 : x
2. Step 2: Convert to fraction form
   1,067.76/1,600.56 = 417.60/x
3. Step 3: Cross multiply
   1,067.76x = 1,600.56 × 417.60
4. Step 4: Simplify right side
   1,067.76x = 668,393.86
5. Step 5: Solve for x
   x = 668,393.86/1,067.76
6. Step 6: Final answer
   x = 625.98