Finding the Fourth Proportional to 1,974.02, 2,960.43 and 819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,974.02 : 2,960.43 = 819.50 : x
2. Step 2: Convert to fraction form
   1,974.02/2,960.43 = 819.50/x
3. Step 3: Cross multiply
   1,974.02x = 2,960.43 × 819.50
4. Step 4: Simplify right side
   1,974.02x = 2,426,072.39
5. Step 5: Solve for x
   x = 2,426,072.39/1,974.02
6. Step 6: Final answer
   x = 1,229.00