Finding the Fourth Proportional to 1,417.47, 1,956.11 and 828.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.47 : 1,956.11 = 828.04 : x
2. Step 2: Convert to fraction form
   1,417.47/1,956.11 = 828.04/x
3. Step 3: Cross multiply
   1,417.47x = 1,956.11 × 828.04
4. Step 4: Simplify right side
   1,417.47x = 1,619,737.32
5. Step 5: Solve for x
   x = 1,619,737.32/1,417.47
6. Step 6: Final answer
   x = 1,142.70