Finding the Fourth Proportional to 1,253.98, 1,729.35 and 828.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,253.98 : 1,729.35 = 828.43 : x
2. Step 2: Convert to fraction form
   1,253.98/1,729.35 = 828.43/x
3. Step 3: Cross multiply
   1,253.98x = 1,729.35 × 828.43
4. Step 4: Simplify right side
   1,253.98x = 1,432,641.10
5. Step 5: Solve for x
   x = 1,432,641.10/1,253.98
6. Step 6: Final answer
   x = 1,142.47