Finding the Fourth Proportional to 1,266.72, 1,748.76 and 824.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266.72 : 1,748.76 = 824.88 : x
2. Step 2: Convert to fraction form
   1,266.72/1,748.76 = 824.88/x
3. Step 3: Cross multiply
   1,266.72x = 1,748.76 × 824.88
4. Step 4: Simplify right side
   1,266.72x = 1,442,517.15
5. Step 5: Solve for x
   x = 1,442,517.15/1,266.72
6. Step 6: Final answer
   x = 1,138.78