Finding the Fourth Proportional to 1,169.84, 1,612.89 and 828.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,169.84 : 1,612.89 = 828.42 : x
2. Step 2: Convert to fraction form
   1,169.84/1,612.89 = 828.42/x
3. Step 3: Cross multiply
   1,169.84x = 1,612.89 × 828.42
4. Step 4: Simplify right side
   1,169.84x = 1,336,146.19
5. Step 5: Solve for x
   x = 1,336,146.19/1,169.84
6. Step 6: Final answer
   x = 1,142.17