Finding the Fourth Proportional to 1,086.38, 1,630.29 and 402.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.38 : 1,630.29 = 402.38 : x
2. Step 2: Convert to fraction form
   1,086.38/1,630.29 = 402.38/x
3. Step 3: Cross multiply
   1,086.38x = 1,630.29 × 402.38
4. Step 4: Simplify right side
   1,086.38x = 655,987.94
5. Step 5: Solve for x
   x = 655,987.94/1,086.38
6. Step 6: Final answer
   x = 603.83