Finding the Fourth Proportional to 1,410.78, 1,946.94 and 789.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.78 : 1,946.94 = 789.78 : x
2. Step 2: Convert to fraction form
   1,410.78/1,946.94 = 789.78/x
3. Step 3: Cross multiply
   1,410.78x = 1,946.94 × 789.78
4. Step 4: Simplify right side
   1,410.78x = 1,537,654.27
5. Step 5: Solve for x
   x = 1,537,654.27/1,410.78
6. Step 6: Final answer
   x = 1,089.93