Finding the Fourth Proportional to 1,426.32, 1,968.03 and 828.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.32 : 1,968.03 = 828.80 : x
2. Step 2: Convert to fraction form
   1,426.32/1,968.03 = 828.80/x
3. Step 3: Cross multiply
   1,426.32x = 1,968.03 × 828.80
4. Step 4: Simplify right side
   1,426.32x = 1,631,103.26
5. Step 5: Solve for x
   x = 1,631,103.26/1,426.32
6. Step 6: Final answer
   x = 1,143.57