Finding the Fourth Proportional to 1,965.38, 2,946.63 and 1,678.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,965.38 : 2,946.63 = 1,678.82 : x
2. Step 2: Convert to fraction form
   1,965.38/2,946.63 = 1,678.82/x
3. Step 3: Cross multiply
   1,965.38x = 2,946.63 × 1,678.82
4. Step 4: Simplify right side
   1,965.38x = 4,946,861.38
5. Step 5: Solve for x
   x = 4,946,861.38/1,965.38
6. Step 6: Final answer
   x = 2,517.00