Finding the Fourth Proportional to 1,401.92, 1,935.14 and 842.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.92 : 1,935.14 = 842.56 : x
2. Step 2: Convert to fraction form
   1,401.92/1,935.14 = 842.56/x
3. Step 3: Cross multiply
   1,401.92x = 1,935.14 × 842.56
4. Step 4: Simplify right side
   1,401.92x = 1,630,471.56
5. Step 5: Solve for x
   x = 1,630,471.56/1,401.92
6. Step 6: Final answer
   x = 1,163.03