Finding the Fourth Proportional to 10,464.42, 14,440.74 and 5,684.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.42 : 14,440.74 = 5,684.34 : x
2. Step 2: Convert to fraction form
   10,464.42/14,440.74 = 5,684.34/x
3. Step 3: Cross multiply
   10,464.42x = 14,440.74 × 5,684.34
4. Step 4: Simplify right side
   10,464.42x = 82,086,076.01
5. Step 5: Solve for x
   x = 82,086,076.01/10,464.42
6. Step 6: Final answer
   x = 7,844.30