Finding the Fourth Proportional to 1,089.59, 1,633.25 and 828.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,089.59 : 1,633.25 = 828.86 : x
2. Step 2: Convert to fraction form
   1,089.59/1,633.25 = 828.86/x
3. Step 3: Cross multiply
   1,089.59x = 1,633.25 × 828.86
4. Step 4: Simplify right side
   1,089.59x = 1,353,723.28
5. Step 5: Solve for x
   x = 1,353,723.28/1,089.59
6. Step 6: Final answer
   x = 1,242.42