Finding the Fourth Proportional to 10,464.07, 14,440.52 and 5,684.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464.07 : 14,440.52 = 5,684.06 : x
2. Step 2: Convert to fraction form
   10,464.07/14,440.52 = 5,684.06/x
3. Step 3: Cross multiply
   10,464.07x = 14,440.52 × 5,684.06
4. Step 4: Simplify right side
   10,464.07x = 82,080,820.11
5. Step 5: Solve for x
   x = 82,080,820.11/10,464.07
6. Step 6: Final answer
   x = 7,844.06