Finding the Fourth Proportional to 2,655.98, 3,664.20 and 1,536.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,655.98 : 3,664.20 = 1,536.71 : x
2. Step 2: Convert to fraction form
   2,655.98/3,664.20 = 1,536.71/x
3. Step 3: Cross multiply
   2,655.98x = 3,664.20 × 1,536.71
4. Step 4: Simplify right side
   2,655.98x = 5,630,812.78
5. Step 5: Solve for x
   x = 5,630,812.78/2,655.98
6. Step 6: Final answer
   x = 2,120.05