Finding the Fourth Proportional to 3,678.86, 5,076.77 and 2,000.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.86 : 5,076.77 = 2,000.22 : x
2. Step 2: Convert to fraction form
   3,678.86/5,076.77 = 2,000.22/x
3. Step 3: Cross multiply
   3,678.86x = 5,076.77 × 2,000.22
4. Step 4: Simplify right side
   3,678.86x = 10,154,656.89
5. Step 5: Solve for x
   x = 10,154,656.89/3,678.86
6. Step 6: Final answer
   x = 2,760.27