Finding the Fourth Proportional to 1,410.76, 1,946.66 and 789.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.76 : 1,946.66 = 789.80 : x
2. Step 2: Convert to fraction form
   1,410.76/1,946.66 = 789.80/x
3. Step 3: Cross multiply
   1,410.76x = 1,946.66 × 789.80
4. Step 4: Simplify right side
   1,410.76x = 1,537,472.07
5. Step 5: Solve for x
   x = 1,537,472.07/1,410.76
6. Step 6: Final answer
   x = 1,089.82