Finding the Fourth Proportional to 3,914.50, 5,402.01 and 2,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,914.50 : 5,402.01 = 2,258.50 : x
2. Step 2: Convert to fraction form
   3,914.50/5,402.01 = 2,258.50/x
3. Step 3: Cross multiply
   3,914.50x = 5,402.01 × 2,258.50
4. Step 4: Simplify right side
   3,914.50x = 12,200,439.59
5. Step 5: Solve for x
   x = 12,200,439.59/3,914.50
6. Step 6: Final answer
   x = 3,116.73