Finding the Fourth Proportional to 1,402.38, 1,935.20 and 842.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.38 : 1,935.20 = 842.74 : x
2. Step 2: Convert to fraction form
   1,402.38/1,935.20 = 842.74/x
3. Step 3: Cross multiply
   1,402.38x = 1,935.20 × 842.74
4. Step 4: Simplify right side
   1,402.38x = 1,630,867.72
5. Step 5: Solve for x
   x = 1,630,867.72/1,402.38
6. Step 6: Final answer
   x = 1,162.93