Finding the Fourth Proportional to 1,401.75, 1,933.97 and 842.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.75 : 1,933.97 = 842.40 : x
2. Step 2: Convert to fraction form
   1,401.75/1,933.97 = 842.40/x
3. Step 3: Cross multiply
   1,401.75x = 1,933.97 × 842.40
4. Step 4: Simplify right side
   1,401.75x = 1,629,172.12
5. Step 5: Solve for x
   x = 1,629,172.12/1,401.75
6. Step 6: Final answer
   x = 1,162.24