Finding the Fourth Proportional to 1,402.04, 1,934.86 and 842.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.04 : 1,934.86 = 842.32 : x
2. Step 2: Convert to fraction form
   1,402.04/1,934.86 = 842.32/x
3. Step 3: Cross multiply
   1,402.04x = 1,934.86 × 842.32
4. Step 4: Simplify right side
   1,402.04x = 1,629,771.28
5. Step 5: Solve for x
   x = 1,629,771.28/1,402.04
6. Step 6: Final answer
   x = 1,162.43