Finding the Fourth Proportional to 3,735.61, 5,155.50 and 2,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,735.61 : 5,155.50 = 2,243.50 : x
2. Step 2: Convert to fraction form
   3,735.61/5,155.50 = 2,243.50/x
3. Step 3: Cross multiply
   3,735.61x = 5,155.50 × 2,243.50
4. Step 4: Simplify right side
   3,735.61x = 11,566,347.15
5. Step 5: Solve for x
   x = 11,566,347.15/3,735.61
6. Step 6: Final answer
   x = 3,096.24