Finding the Fourth Proportional to 10,449.88, 14,421.18 and 5,734.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,449.88 : 14,421.18 = 5,734.42 : x
2. Step 2: Convert to fraction form
   10,449.88/14,421.18 = 5,734.42/x
3. Step 3: Cross multiply
   10,449.88x = 14,421.18 × 5,734.42
4. Step 4: Simplify right side
   10,449.88x = 82,697,103.02
5. Step 5: Solve for x
   x = 82,697,103.02/10,449.88
6. Step 6: Final answer
   x = 7,913.69