Finding the Fourth Proportional to 1,417.64, 1,956.89 and 828.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.64 : 1,956.89 = 828.37 : x
2. Step 2: Convert to fraction form
   1,417.64/1,956.89 = 828.37/x
3. Step 3: Cross multiply
   1,417.64x = 1,956.89 × 828.37
4. Step 4: Simplify right side
   1,417.64x = 1,621,019.94
5. Step 5: Solve for x
   x = 1,621,019.94/1,417.64
6. Step 6: Final answer
   x = 1,143.46