Finding the Fourth Proportional to 1,094.91, 1,642.56 and 401.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,094.91 : 1,642.56 = 401.68 : x
2. Step 2: Convert to fraction form
   1,094.91/1,642.56 = 401.68/x
3. Step 3: Cross multiply
   1,094.91x = 1,642.56 × 401.68
4. Step 4: Simplify right side
   1,094.91x = 659,783.50
5. Step 5: Solve for x
   x = 659,783.50/1,094.91
6. Step 6: Final answer
   x = 602.59