Finding the Fourth Proportional to 2,731.68, 3,768.78 and 1,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,731.68 : 3,768.78 = 1,536.50 : x
2. Step 2: Convert to fraction form
   2,731.68/3,768.78 = 1,536.50/x
3. Step 3: Cross multiply
   2,731.68x = 3,768.78 × 1,536.50
4. Step 4: Simplify right side
   2,731.68x = 5,790,730.47
5. Step 5: Solve for x
   x = 5,790,730.47/2,731.68
6. Step 6: Final answer
   x = 2,119.84