Finding the Fourth Proportional to 10,449.54, 14,421.29 and 5,734.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,449.54 : 14,421.29 = 5,734.80 : x
2. Step 2: Convert to fraction form
   10,449.54/14,421.29 = 5,734.80/x
3. Step 3: Cross multiply
   10,449.54x = 14,421.29 × 5,734.80
4. Step 4: Simplify right side
   10,449.54x = 82,703,185.22
5. Step 5: Solve for x
   x = 82,703,185.22/10,449.54
6. Step 6: Final answer
   x = 7,914.53