Finding the Fourth Proportional to 2,655.61, 3,664.86 and 1,536.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,655.61 : 3,664.86 = 1,536.60 : x
2. Step 2: Convert to fraction form
   2,655.61/3,664.86 = 1,536.60/x
3. Step 3: Cross multiply
   2,655.61x = 3,664.86 × 1,536.60
4. Step 4: Simplify right side
   2,655.61x = 5,631,423.88
5. Step 5: Solve for x
   x = 5,631,423.88/2,655.61
6. Step 6: Final answer
   x = 2,120.58