Finding the Fourth Proportional to 6,401.97, 8,825.90 and 4,277.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,401.97 : 8,825.90 = 4,277.61 : x
2. Step 2: Convert to fraction form
   6,401.97/8,825.90 = 4,277.61/x
3. Step 3: Cross multiply
   6,401.97x = 8,825.90 × 4,277.61
4. Step 4: Simplify right side
   6,401.97x = 37,753,736.71
5. Step 5: Solve for x
   x = 37,753,736.71/6,401.97
6. Step 6: Final answer
   x = 5,897.21