Finding the Fourth Proportional to 1,300.46, 1,794.06 and 828.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.46 : 1,794.06 = 828.09 : x
2. Step 2: Convert to fraction form
   1,300.46/1,794.06 = 828.09/x
3. Step 3: Cross multiply
   1,300.46x = 1,794.06 × 828.09
4. Step 4: Simplify right side
   1,300.46x = 1,485,643.15
5. Step 5: Solve for x
   x = 1,485,643.15/1,300.46
6. Step 6: Final answer
   x = 1,142.40