Finding the Fourth Proportional to 1,406.38, 2,109.58 and 789.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.38 : 2,109.58 = 789.16 : x
2. Step 2: Convert to fraction form
   1,406.38/2,109.58 = 789.16/x
3. Step 3: Cross multiply
   1,406.38x = 2,109.58 × 789.16
4. Step 4: Simplify right side
   1,406.38x = 1,664,796.15
5. Step 5: Solve for x
   x = 1,664,796.15/1,406.38
6. Step 6: Final answer
   x = 1,183.75