Finding the Fourth Proportional to 1,857.50, 2,563.35 and 1,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,857.50 : 2,563.35 = 1,029.50 : x
2. Step 2: Convert to fraction form
   1,857.50/2,563.35 = 1,029.50/x
3. Step 3: Cross multiply
   1,857.50x = 2,563.35 × 1,029.50
4. Step 4: Simplify right side
   1,857.50x = 2,638,968.83
5. Step 5: Solve for x
   x = 2,638,968.83/1,857.50
6. Step 6: Final answer
   x = 1,420.71