Finding the Fourth Proportional to 1,728.26, 2,385.42 and 1,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,728.26 : 2,385.42 = 1,029.50 : x
2. Step 2: Convert to fraction form
   1,728.26/2,385.42 = 1,029.50/x
3. Step 3: Cross multiply
   1,728.26x = 2,385.42 × 1,029.50
4. Step 4: Simplify right side
   1,728.26x = 2,455,789.89
5. Step 5: Solve for x
   x = 2,455,789.89/1,728.26
6. Step 6: Final answer
   x = 1,420.96