Finding the Fourth Proportional to 1,407.77, 1,942.62 and 778.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.77 : 1,942.62 = 778.29 : x
2. Step 2: Convert to fraction form
   1,407.77/1,942.62 = 778.29/x
3. Step 3: Cross multiply
   1,407.77x = 1,942.62 × 778.29
4. Step 4: Simplify right side
   1,407.77x = 1,511,921.72
5. Step 5: Solve for x
   x = 1,511,921.72/1,407.77
6. Step 6: Final answer
   x = 1,073.99