Finding the Fourth Proportional to 1,378.86, 1,902.78 and 789.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.86 : 1,902.78 = 789.35 : x
2. Step 2: Convert to fraction form
   1,378.86/1,902.78 = 789.35/x
3. Step 3: Cross multiply
   1,378.86x = 1,902.78 × 789.35
4. Step 4: Simplify right side
   1,378.86x = 1,501,949.88
5. Step 5: Solve for x
   x = 1,501,949.88/1,378.86
6. Step 6: Final answer
   x = 1,089.27