Finding the Fourth Proportional to 3,938.09, 5,434.56 and 2,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,938.09 : 5,434.56 = 2,259.50 : x
2. Step 2: Convert to fraction form
   3,938.09/5,434.56 = 2,259.50/x
3. Step 3: Cross multiply
   3,938.09x = 5,434.56 × 2,259.50
4. Step 4: Simplify right side
   3,938.09x = 12,279,361.15
5. Step 5: Solve for x
   x = 12,279,361.15/3,938.09
6. Step 6: Final answer
   x = 3,118.10