Finding the Fourth Proportional to 1,402.40, 1,934.46 and 842.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.40 : 1,934.46 = 842.48 : x
2. Step 2: Convert to fraction form
   1,402.40/1,934.46 = 842.48/x
3. Step 3: Cross multiply
   1,402.40x = 1,934.46 × 842.48
4. Step 4: Simplify right side
   1,402.40x = 1,629,743.86
5. Step 5: Solve for x
   x = 1,629,743.86/1,402.40
6. Step 6: Final answer
   x = 1,162.11