Finding the Fourth Proportional to 1,402.34, 1,934.48 and 842.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.34 : 1,934.48 = 842.54 : x
2. Step 2: Convert to fraction form
   1,402.34/1,934.48 = 842.54/x
3. Step 3: Cross multiply
   1,402.34x = 1,934.48 × 842.54
4. Step 4: Simplify right side
   1,402.34x = 1,629,876.78
5. Step 5: Solve for x
   x = 1,629,876.78/1,402.34
6. Step 6: Final answer
   x = 1,162.26