Finding the Fourth Proportional to 1,095.27, 1,642.37 and 401.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,095.27 : 1,642.37 = 401.42 : x
2. Step 2: Convert to fraction form
   1,095.27/1,642.37 = 401.42/x
3. Step 3: Cross multiply
   1,095.27x = 1,642.37 × 401.42
4. Step 4: Simplify right side
   1,095.27x = 659,269.95
5. Step 5: Solve for x
   x = 659,269.95/1,095.27
6. Step 6: Final answer
   x = 601.92