Finding the Fourth Proportional to 10,464.63, 14,441.15 and 5,684.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.63 : 14,441.15 = 5,684.54 : x
2. Step 2: Convert to fraction form
   10,464.63/14,441.15 = 5,684.54/x
3. Step 3: Cross multiply
   10,464.63x = 14,441.15 × 5,684.54
4. Step 4: Simplify right side
   10,464.63x = 82,091,290.98
5. Step 5: Solve for x
   x = 82,091,290.98/10,464.63
6. Step 6: Final answer
   x = 7,844.64