Finding the Fourth Proportional to 1,728.50, 2,592.78 and 429.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,728.50 : 2,592.78 = 429.98 : x
2. Step 2: Convert to fraction form
   1,728.50/2,592.78 = 429.98/x
3. Step 3: Cross multiply
   1,728.50x = 2,592.78 × 429.98
4. Step 4: Simplify right side
   1,728.50x = 1,114,843.54
5. Step 5: Solve for x
   x = 1,114,843.54/1,728.50
6. Step 6: Final answer
   x = 644.98