Finding the Fourth Proportional to 1,426.34, 1,968.22 and 828.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.34 : 1,968.22 = 828.69 : x
2. Step 2: Convert to fraction form
   1,426.34/1,968.22 = 828.69/x
3. Step 3: Cross multiply
   1,426.34x = 1,968.22 × 828.69
4. Step 4: Simplify right side
   1,426.34x = 1,631,037.89
5. Step 5: Solve for x
   x = 1,631,037.89/1,426.34
6. Step 6: Final answer
   x = 1,143.51