Finding the Fourth Proportional to 2,178.83, 3,269.66 and 946.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.83 : 3,269.66 = 946.82 : x
2. Step 2: Convert to fraction form
   2,178.83/3,269.66 = 946.82/x
3. Step 3: Cross multiply
   2,178.83x = 3,269.66 × 946.82
4. Step 4: Simplify right side
   2,178.83x = 3,095,758.40
5. Step 5: Solve for x
   x = 3,095,758.40/2,178.83
6. Step 6: Final answer
   x = 1,420.84