Finding the Fourth Proportional to 1,294.11, 1,784.59 and 789.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.11 : 1,784.59 = 789.57 : x
2. Step 2: Convert to fraction form
   1,294.11/1,784.59 = 789.57/x
3. Step 3: Cross multiply
   1,294.11x = 1,784.59 × 789.57
4. Step 4: Simplify right side
   1,294.11x = 1,409,056.75
5. Step 5: Solve for x
   x = 1,409,056.75/1,294.11
6. Step 6: Final answer
   x = 1,088.82