Finding the Fourth Proportional to 1,266.76, 1,748.89 and 819.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266.76 : 1,748.89 = 819.42 : x
2. Step 2: Convert to fraction form
   1,266.76/1,748.89 = 819.42/x
3. Step 3: Cross multiply
   1,266.76x = 1,748.89 × 819.42
4. Step 4: Simplify right side
   1,266.76x = 1,433,069.91
5. Step 5: Solve for x
   x = 1,433,069.91/1,266.76
6. Step 6: Final answer
   x = 1,131.28