Finding the Fourth Proportional to 1,496.28, 2,064.79 and 824.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.28 : 2,064.79 = 824.06 : x
2. Step 2: Convert to fraction form
   1,496.28/2,064.79 = 824.06/x
3. Step 3: Cross multiply
   1,496.28x = 2,064.79 × 824.06
4. Step 4: Simplify right side
   1,496.28x = 1,701,510.85
5. Step 5: Solve for x
   x = 1,701,510.85/1,496.28
6. Step 6: Final answer
   x = 1,137.16