Finding the Fourth Proportional to 10,449.42, 14,420.16 and 5,733.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,449.42 : 14,420.16 = 5,733.78 : x
2. Step 2: Convert to fraction form
   10,449.42/14,420.16 = 5,733.78/x
3. Step 3: Cross multiply
   10,449.42x = 14,420.16 × 5,733.78
4. Step 4: Simplify right side
   10,449.42x = 82,682,025.00
5. Step 5: Solve for x
   x = 82,682,025.00/10,449.42
6. Step 6: Final answer
   x = 7,912.59