Finding the Fourth Proportional to 1,401.37, 1,933.40 and 842.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.37 : 1,933.40 = 842.02 : x
2. Step 2: Convert to fraction form
   1,401.37/1,933.40 = 842.02/x
3. Step 3: Cross multiply
   1,401.37x = 1,933.40 × 842.02
4. Step 4: Simplify right side
   1,401.37x = 1,627,958.74
5. Step 5: Solve for x
   x = 1,627,958.74/1,401.37
6. Step 6: Final answer
   x = 1,161.69