Finding the Fourth Proportional to 1,983.94, 2,975.69 and 812.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,983.94 : 2,975.69 = 812.78 : x
2. Step 2: Convert to fraction form
   1,983.94/2,975.69 = 812.78/x
3. Step 3: Cross multiply
   1,983.94x = 2,975.69 × 812.78
4. Step 4: Simplify right side
   1,983.94x = 2,418,591.80
5. Step 5: Solve for x
   x = 2,418,591.80/1,983.94
6. Step 6: Final answer
   x = 1,219.08