Finding the Fourth Proportional to 1,418.21, 1,956.50 and 828.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,418.21 : 1,956.50 = 828.49 : x
2. Step 2: Convert to fraction form
   1,418.21/1,956.50 = 828.49/x
3. Step 3: Cross multiply
   1,418.21x = 1,956.50 × 828.49
4. Step 4: Simplify right side
   1,418.21x = 1,620,926.76
5. Step 5: Solve for x
   x = 1,620,926.76/1,418.21
6. Step 6: Final answer
   x = 1,142.94