Finding the Fourth Proportional to 1,410.69, 1,946.75 and 789.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.69 : 1,946.75 = 789.69 : x
2. Step 2: Convert to fraction form
   1,410.69/1,946.75 = 789.69/x
3. Step 3: Cross multiply
   1,410.69x = 1,946.75 × 789.69
4. Step 4: Simplify right side
   1,410.69x = 1,537,329.01
5. Step 5: Solve for x
   x = 1,537,329.01/1,410.69
6. Step 6: Final answer
   x = 1,089.77