Finding the Fourth Proportional to 10,464.39, 14,441.01 and 5,684.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.39 : 14,441.01 = 5,684.35 : x
2. Step 2: Convert to fraction form
   10,464.39/14,441.01 = 5,684.35/x
3. Step 3: Cross multiply
   10,464.39x = 14,441.01 × 5,684.35
4. Step 4: Simplify right side
   10,464.39x = 82,087,755.19
5. Step 5: Solve for x
   x = 82,087,755.19/10,464.39
6. Step 6: Final answer
   x = 7,844.49