Finding the Fourth Proportional to 3,765.60, 5,196.89 and 2,087.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,765.60 : 5,196.89 = 2,087.55 : x
2. Step 2: Convert to fraction form
   3,765.60/5,196.89 = 2,087.55/x
3. Step 3: Cross multiply
   3,765.60x = 5,196.89 × 2,087.55
4. Step 4: Simplify right side
   3,765.60x = 10,848,772.94
5. Step 5: Solve for x
   x = 10,848,772.94/3,765.60
6. Step 6: Final answer
   x = 2,881.02