Finding the Fourth Proportional to 6,938.50, 10,407.88 and 2,258.49

Step by Step Solution

1. Step 1: Write the proportion equation
   6,938.50 : 10,407.88 = 2,258.49 : x
2. Step 2: Convert to fraction form
   6,938.50/10,407.88 = 2,258.49/x
3. Step 3: Cross multiply
   6,938.50x = 10,407.88 × 2,258.49
4. Step 4: Simplify right side
   6,938.50x = 23,506,136.89
5. Step 5: Solve for x
   x = 23,506,136.89/6,938.50
6. Step 6: Final answer
   x = 3,387.78