Finding the Fourth Proportional to 2,028, 2,798.64 and 1,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,028 : 2,798.64 = 1,096.50 : x
2. Step 2: Convert to fraction form
   2,028/2,798.64 = 1,096.50/x
3. Step 3: Cross multiply
   2,028x = 2,798.64 × 1,096.50
4. Step 4: Simplify right side
   2,028x = 3,068,708.76
5. Step 5: Solve for x
   x = 3,068,708.76/2,028
6. Step 6: Final answer
   x = 1,513.17