Finding the Fourth Proportional to 1,300.46, 1,794.83 and 828.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.46 : 1,794.83 = 828.56 : x
2. Step 2: Convert to fraction form
   1,300.46/1,794.83 = 828.56/x
3. Step 3: Cross multiply
   1,300.46x = 1,794.83 × 828.56
4. Step 4: Simplify right side
   1,300.46x = 1,487,124.34
5. Step 5: Solve for x
   x = 1,487,124.34/1,300.46
6. Step 6: Final answer
   x = 1,143.54