Finding the Fourth Proportional to 6,494.78, 8,962.14 and 3,977.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,494.78 : 8,962.14 = 3,977.61 : x
2. Step 2: Convert to fraction form
   6,494.78/8,962.14 = 3,977.61/x
3. Step 3: Cross multiply
   6,494.78x = 8,962.14 × 3,977.61
4. Step 4: Simplify right side
   6,494.78x = 35,647,897.69
5. Step 5: Solve for x
   x = 35,647,897.69/6,494.78
6. Step 6: Final answer
   x = 5,488.70