Finding the Fourth Proportional to 1,417.84, 1,956.72 and 828.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.84 : 1,956.72 = 828.52 : x
2. Step 2: Convert to fraction form
   1,417.84/1,956.72 = 828.52/x
3. Step 3: Cross multiply
   1,417.84x = 1,956.72 × 828.52
4. Step 4: Simplify right side
   1,417.84x = 1,621,181.65
5. Step 5: Solve for x
   x = 1,621,181.65/1,417.84
6. Step 6: Final answer
   x = 1,143.42