Finding the Fourth Proportional to 2,178.58, 3,006.67 and 1,294.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.58 : 3,006.67 = 1,294.46 : x
2. Step 2: Convert to fraction form
   2,178.58/3,006.67 = 1,294.46/x
3. Step 3: Cross multiply
   2,178.58x = 3,006.67 × 1,294.46
4. Step 4: Simplify right side
   2,178.58x = 3,892,018.33
5. Step 5: Solve for x
   x = 3,892,018.33/2,178.58
6. Step 6: Final answer
   x = 1,786.50