Finding the Fourth Proportional to 6,314.57, 9,468.71 and 3,682.98

Step by Step Solution

1. Step 1: Write the proportion equation
   6,314.57 : 9,468.71 = 3,682.98 : x
2. Step 2: Convert to fraction form
   6,314.57/9,468.71 = 3,682.98/x
3. Step 3: Cross multiply
   6,314.57x = 9,468.71 × 3,682.98
4. Step 4: Simplify right side
   6,314.57x = 34,873,069.56
5. Step 5: Solve for x
   x = 34,873,069.56/6,314.57
6. Step 6: Final answer
   x = 5,522.64