Finding the Fourth Proportional to 1,442.82, 2,164.35 and 402.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,442.82 : 2,164.35 = 402.83 : x
2. Step 2: Convert to fraction form
   1,442.82/2,164.35 = 402.83/x
3. Step 3: Cross multiply
   1,442.82x = 2,164.35 × 402.83
4. Step 4: Simplify right side
   1,442.82x = 871,870.52
5. Step 5: Solve for x
   x = 871,870.52/1,442.82
6. Step 6: Final answer
   x = 604.28