Finding the Fourth Proportional to 1,426.46, 1,968.35 and 828.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.46 : 1,968.35 = 828.77 : x
2. Step 2: Convert to fraction form
   1,426.46/1,968.35 = 828.77/x
3. Step 3: Cross multiply
   1,426.46x = 1,968.35 × 828.77
4. Step 4: Simplify right side
   1,426.46x = 1,631,309.43
5. Step 5: Solve for x
   x = 1,631,309.43/1,426.46
6. Step 6: Final answer
   x = 1,143.61