Finding the Fourth Proportional to 2,188, 3,019.50 and 1,256.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188 : 3,019.50 = 1,256.56 : x
2. Step 2: Convert to fraction form
   2,188/3,019.50 = 1,256.56/x
3. Step 3: Cross multiply
   2,188x = 3,019.50 × 1,256.56
4. Step 4: Simplify right side
   2,188x = 3,794,182.92
5. Step 5: Solve for x
   x = 3,794,182.92/2,188
6. Step 6: Final answer
   x = 1,734.09