Finding the Fourth Proportional to 1,367.57, 1,887.47 and 778.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,367.57 : 1,887.47 = 778.30 : x
2. Step 2: Convert to fraction form
   1,367.57/1,887.47 = 778.30/x
3. Step 3: Cross multiply
   1,367.57x = 1,887.47 × 778.30
4. Step 4: Simplify right side
   1,367.57x = 1,469,012.21
5. Step 5: Solve for x
   x = 1,469,012.21/1,367.57
6. Step 6: Final answer
   x = 1,074.18