Finding the Fourth Proportional to 3,086.50, 4,627.50 and 1,138.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,086.50 : 4,627.50 = 1,138.72 : x
2. Step 2: Convert to fraction form
   3,086.50/4,627.50 = 1,138.72/x
3. Step 3: Cross multiply
   3,086.50x = 4,627.50 × 1,138.72
4. Step 4: Simplify right side
   3,086.50x = 5,269,426.80
5. Step 5: Solve for x
   x = 5,269,426.80/3,086.50
6. Step 6: Final answer
   x = 1,707.25