Finding the Fourth Proportional to 2,177.82, 3,005.39 and 1,294.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,177.82 : 3,005.39 = 1,294.35 : x
2. Step 2: Convert to fraction form
   2,177.82/3,005.39 = 1,294.35/x
3. Step 3: Cross multiply
   2,177.82x = 3,005.39 × 1,294.35
4. Step 4: Simplify right side
   2,177.82x = 3,890,020.07
5. Step 5: Solve for x
   x = 3,890,020.07/2,177.82
6. Step 6: Final answer
   x = 1,786.20