Finding the Fourth Proportional to 1,417.65, 1,956.33 and 828.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.65 : 1,956.33 = 828.17 : x
2. Step 2: Convert to fraction form
   1,417.65/1,956.33 = 828.17/x
3. Step 3: Cross multiply
   1,417.65x = 1,956.33 × 828.17
4. Step 4: Simplify right side
   1,417.65x = 1,620,178.71
5. Step 5: Solve for x
   x = 1,620,178.71/1,417.65
6. Step 6: Final answer
   x = 1,142.86