Finding the Fourth Proportional to 942.02, 1,412.82 and 394.05

Step by Step Solution

1. Step 1: Write the proportion equation
   942.02 : 1,412.82 = 394.05 : x
2. Step 2: Convert to fraction form
   942.02/1,412.82 = 394.05/x
3. Step 3: Cross multiply
   942.02x = 1,412.82 × 394.05
4. Step 4: Simplify right side
   942.02x = 556,721.72
5. Step 5: Solve for x
   x = 556,721.72/942.02
6. Step 6: Final answer
   x = 590.99