Finding the Fourth Proportional to 1,445.38, 2,168.42 and 829.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,445.38 : 2,168.42 = 829.78 : x
2. Step 2: Convert to fraction form
   1,445.38/2,168.42 = 829.78/x
3. Step 3: Cross multiply
   1,445.38x = 2,168.42 × 829.78
4. Step 4: Simplify right side
   1,445.38x = 1,799,311.55
5. Step 5: Solve for x
   x = 1,799,311.55/1,445.38
6. Step 6: Final answer
   x = 1,244.87