Finding the Fourth Proportional to 1,855.50, 2,783.61 and 829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,855.50 : 2,783.61 = 829.50 : x
2. Step 2: Convert to fraction form
   1,855.50/2,783.61 = 829.50/x
3. Step 3: Cross multiply
   1,855.50x = 2,783.61 × 829.50
4. Step 4: Simplify right side
   1,855.50x = 2,309,004.50
5. Step 5: Solve for x
   x = 2,309,004.50/1,855.50
6. Step 6: Final answer
   x = 1,244.41