Finding the Fourth Proportional to 2,563.50, 3,845.89 and 739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.50 : 3,845.89 = 739.50 : x
2. Step 2: Convert to fraction form
   2,563.50/3,845.89 = 739.50/x
3. Step 3: Cross multiply
   2,563.50x = 3,845.89 × 739.50
4. Step 4: Simplify right side
   2,563.50x = 2,844,035.66
5. Step 5: Solve for x
   x = 2,844,035.66/2,563.50
6. Step 6: Final answer
   x = 1,109.43