Finding the Fourth Proportional to 1,401.50, 1,934.04 and 842.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.50 : 1,934.04 = 842.24 : x
2. Step 2: Convert to fraction form
   1,401.50/1,934.04 = 842.24/x
3. Step 3: Cross multiply
   1,401.50x = 1,934.04 × 842.24
4. Step 4: Simplify right side
   1,401.50x = 1,628,925.85
5. Step 5: Solve for x
   x = 1,628,925.85/1,401.50
6. Step 6: Final answer
   x = 1,162.27