Finding the Fourth Proportional to 10,449.48, 14,420.52 and 5,733.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,449.48 : 14,420.52 = 5,733.75 : x
2. Step 2: Convert to fraction form
   10,449.48/14,420.52 = 5,733.75/x
3. Step 3: Cross multiply
   10,449.48x = 14,420.52 × 5,733.75
4. Step 4: Simplify right side
   10,449.48x = 82,683,656.55
5. Step 5: Solve for x
   x = 82,683,656.55/10,449.48
6. Step 6: Final answer
   x = 7,912.71