Finding the Fourth Proportional to 1,262.57, 1,894.15 and 429.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.57 : 1,894.15 = 429.59 : x
2. Step 2: Convert to fraction form
   1,262.57/1,894.15 = 429.59/x
3. Step 3: Cross multiply
   1,262.57x = 1,894.15 × 429.59
4. Step 4: Simplify right side
   1,262.57x = 813,707.90
5. Step 5: Solve for x
   x = 813,707.90/1,262.57
6. Step 6: Final answer
   x = 644.49