Finding the Fourth Proportional to 2,655.84, 3,664.86 and 1,536.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,655.84 : 3,664.86 = 1,536.78 : x
2. Step 2: Convert to fraction form
   2,655.84/3,664.86 = 1,536.78/x
3. Step 3: Cross multiply
   2,655.84x = 3,664.86 × 1,536.78
4. Step 4: Simplify right side
   2,655.84x = 5,632,083.55
5. Step 5: Solve for x
   x = 5,632,083.55/2,655.84
6. Step 6: Final answer
   x = 2,120.64