Finding the Fourth Proportional to 10,449.33, 14,419.80 and 5,733.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,449.33 : 14,419.80 = 5,733.57 : x
2. Step 2: Convert to fraction form
   10,449.33/14,419.80 = 5,733.57/x
3. Step 3: Cross multiply
   10,449.33x = 14,419.80 × 5,733.57
4. Step 4: Simplify right side
   10,449.33x = 82,676,932.69
5. Step 5: Solve for x
   x = 82,676,932.69/10,449.33
6. Step 6: Final answer
   x = 7,912.18