Finding the Fourth Proportional to 1,296.56, 1,942.56 and 857.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296.56 : 1,942.56 = 857.52 : x
2. Step 2: Convert to fraction form
   1,296.56/1,942.56 = 857.52/x
3. Step 3: Cross multiply
   1,296.56x = 1,942.56 × 857.52
4. Step 4: Simplify right side
   1,296.56x = 1,665,784.05
5. Step 5: Solve for x
   x = 1,665,784.05/1,296.56
6. Step 6: Final answer
   x = 1,284.77