Finding the Fourth Proportional to 1,410.50, 1,946.50 and 789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.50 : 1,946.50 = 789.50 : x
2. Step 2: Convert to fraction form
   1,410.50/1,946.50 = 789.50/x
3. Step 3: Cross multiply
   1,410.50x = 1,946.50 × 789.50
4. Step 4: Simplify right side
   1,410.50x = 1,536,761.75
5. Step 5: Solve for x
   x = 1,536,761.75/1,410.50
6. Step 6: Final answer
   x = 1,089.52