Finding the Fourth Proportional to 1,007.29, 1,517.82 and 828.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.29 : 1,517.82 = 828.69 : x
2. Step 2: Convert to fraction form
   1,007.29/1,517.82 = 828.69/x
3. Step 3: Cross multiply
   1,007.29x = 1,517.82 × 828.69
4. Step 4: Simplify right side
   1,007.29x = 1,257,802.26
5. Step 5: Solve for x
   x = 1,257,802.26/1,007.29
6. Step 6: Final answer
   x = 1,248.70