Finding the Fourth Proportional to 3,854.89, 5,777.16 and 2,002.15

Step by Step Solution

1. Step 1: Write the proportion equation
   3,854.89 : 5,777.16 = 2,002.15 : x
2. Step 2: Convert to fraction form
   3,854.89/5,777.16 = 2,002.15/x
3. Step 3: Cross multiply
   3,854.89x = 5,777.16 × 2,002.15
4. Step 4: Simplify right side
   3,854.89x = 11,566,740.89
5. Step 5: Solve for x
   x = 11,566,740.89/3,854.89
6. Step 6: Final answer
   x = 3,000.54