Finding the Fourth Proportional to 1,367.83, 1,887.60 and 778.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,367.83 : 1,887.60 = 778.56 : x
2. Step 2: Convert to fraction form
   1,367.83/1,887.60 = 778.56/x
3. Step 3: Cross multiply
   1,367.83x = 1,887.60 × 778.56
4. Step 4: Simplify right side
   1,367.83x = 1,469,609.86
5. Step 5: Solve for x
   x = 1,469,609.86/1,367.83
6. Step 6: Final answer
   x = 1,074.41