Finding the Fourth Proportional to 1,743.75, 2,614.55 and 819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,743.75 : 2,614.55 = 819.50 : x
2. Step 2: Convert to fraction form
   1,743.75/2,614.55 = 819.50/x
3. Step 3: Cross multiply
   1,743.75x = 2,614.55 × 819.50
4. Step 4: Simplify right side
   1,743.75x = 2,142,606.55
5. Step 5: Solve for x
   x = 2,142,606.55/1,743.75
6. Step 6: Final answer
   x = 1,228.73