Finding the Fourth Proportional to 1,094.69, 1,642.12 and 401.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.69 : 1,642.12 = 401.38 : x
2. Step 2: Convert to fraction form
   1,094.69/1,642.12 = 401.38/x
3. Step 3: Cross multiply
   1,094.69x = 1,642.12 × 401.38
4. Step 4: Simplify right side
   1,094.69x = 659,109.02
5. Step 5: Solve for x
   x = 659,109.02/1,094.69
6. Step 6: Final answer
   x = 602.10