Finding the Fourth Proportional to 1,402.17, 1,934.50 and 842.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.17 : 1,934.50 = 842.20 : x
2. Step 2: Convert to fraction form
   1,402.17/1,934.50 = 842.20/x
3. Step 3: Cross multiply
   1,402.17x = 1,934.50 × 842.20
4. Step 4: Simplify right side
   1,402.17x = 1,629,235.90
5. Step 5: Solve for x
   x = 1,629,235.90/1,402.17
6. Step 6: Final answer
   x = 1,161.94