Finding the Fourth Proportional to 1,067.78, 1,600.76 and 701.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,067.78 : 1,600.76 = 701.77 : x
2. Step 2: Convert to fraction form
   1,067.78/1,600.76 = 701.77/x
3. Step 3: Cross multiply
   1,067.78x = 1,600.76 × 701.77
4. Step 4: Simplify right side
   1,067.78x = 1,123,353.83
5. Step 5: Solve for x
   x = 1,123,353.83/1,067.78
6. Step 6: Final answer
   x = 1,052.05