Finding the Fourth Proportional to 2,178.39, 3,006.61 and 1,294.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.39 : 3,006.61 = 1,294.02 : x
2. Step 2: Convert to fraction form
   2,178.39/3,006.61 = 1,294.02/x
3. Step 3: Cross multiply
   2,178.39x = 3,006.61 × 1,294.02
4. Step 4: Simplify right side
   2,178.39x = 3,890,591.97
5. Step 5: Solve for x
   x = 3,890,591.97/2,178.39
6. Step 6: Final answer
   x = 1,786.00