Finding the Fourth Proportional to 1,462.88, 2,018.52 and 824.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.88 : 2,018.52 = 824.78 : x
2. Step 2: Convert to fraction form
   1,462.88/2,018.52 = 824.78/x
3. Step 3: Cross multiply
   1,462.88x = 2,018.52 × 824.78
4. Step 4: Simplify right side
   1,462.88x = 1,664,839.97
5. Step 5: Solve for x
   x = 1,664,839.97/1,462.88
6. Step 6: Final answer
   x = 1,138.05