Finding the Fourth Proportional to 1,036.92, 1,432.78 and 828.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.92 : 1,432.78 = 828.82 : x
2. Step 2: Convert to fraction form
   1,036.92/1,432.78 = 828.82/x
3. Step 3: Cross multiply
   1,036.92x = 1,432.78 × 828.82
4. Step 4: Simplify right side
   1,036.92x = 1,187,510.03
5. Step 5: Solve for x
   x = 1,187,510.03/1,036.92
6. Step 6: Final answer
   x = 1,145.22