Finding the Fourth Proportional to 1,407.76, 1,942.56 and 778.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.76 : 1,942.56 = 778.23 : x
2. Step 2: Convert to fraction form
   1,407.76/1,942.56 = 778.23/x
3. Step 3: Cross multiply
   1,407.76x = 1,942.56 × 778.23
4. Step 4: Simplify right side
   1,407.76x = 1,511,758.47
5. Step 5: Solve for x
   x = 1,511,758.47/1,407.76
6. Step 6: Final answer
   x = 1,073.88