Finding the Fourth Proportional to 9,684.87, 14,538.24 and 3,845.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.87 : 14,538.24 = 3,845.58 : x
2. Step 2: Convert to fraction form
   9,684.87/14,538.24 = 3,845.58/x
3. Step 3: Cross multiply
   9,684.87x = 14,538.24 × 3,845.58
4. Step 4: Simplify right side
   9,684.87x = 55,907,964.98
5. Step 5: Solve for x
   x = 55,907,964.98/9,684.87
6. Step 6: Final answer
   x = 5,772.71