Finding the Fourth Proportional to 10,464.50, 14,440.94 and 5,684.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.50 : 14,440.94 = 5,684.40 : x
2. Step 2: Convert to fraction form
   10,464.50/14,440.94 = 5,684.40/x
3. Step 3: Cross multiply
   10,464.50x = 14,440.94 × 5,684.40
4. Step 4: Simplify right side
   10,464.50x = 82,088,079.34
5. Step 5: Solve for x
   x = 82,088,079.34/10,464.50
6. Step 6: Final answer
   x = 7,844.43