Finding the Fourth Proportional to 6,314.78, 9,460.82 and 3,716.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,314.78 : 9,460.82 = 3,716.30 : x
2. Step 2: Convert to fraction form
   6,314.78/9,460.82 = 3,716.30/x
3. Step 3: Cross multiply
   6,314.78x = 9,460.82 × 3,716.30
4. Step 4: Simplify right side
   6,314.78x = 35,159,245.37
5. Step 5: Solve for x
   x = 35,159,245.37/6,314.78
6. Step 6: Final answer
   x = 5,567.77