Finding the Fourth Proportional to 1,294.82, 1,942.43 and 429.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.82 : 1,942.43 = 429.33 : x
2. Step 2: Convert to fraction form
   1,294.82/1,942.43 = 429.33/x
3. Step 3: Cross multiply
   1,294.82x = 1,942.43 × 429.33
4. Step 4: Simplify right side
   1,294.82x = 833,941.33
5. Step 5: Solve for x
   x = 833,941.33/1,294.82
6. Step 6: Final answer
   x = 644.06