Finding the Fourth Proportional to 1,046.24, 1,569.37 and 429.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.24 : 1,569.37 = 429.52 : x
2. Step 2: Convert to fraction form
   1,046.24/1,569.37 = 429.52/x
3. Step 3: Cross multiply
   1,046.24x = 1,569.37 × 429.52
4. Step 4: Simplify right side
   1,046.24x = 674,066.27
5. Step 5: Solve for x
   x = 674,066.27/1,046.24
6. Step 6: Final answer
   x = 644.27