Finding the Fourth Proportional to 5,128.10, 7,677.21 and 3,900.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,128.10 : 7,677.21 = 3,900.50 : x
2. Step 2: Convert to fraction form
   5,128.10/7,677.21 = 3,900.50/x
3. Step 3: Cross multiply
   5,128.10x = 7,677.21 × 3,900.50
4. Step 4: Simplify right side
   5,128.10x = 29,944,957.61
5. Step 5: Solve for x
   x = 29,944,957.61/5,128.10
6. Step 6: Final answer
   x = 5,839.39