Finding the Fourth Proportional to 10,449.59, 14,419.94 and 5,733.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,449.59 : 14,419.94 = 5,733.77 : x
2. Step 2: Convert to fraction form
   10,449.59/14,419.94 = 5,733.77/x
3. Step 3: Cross multiply
   10,449.59x = 14,419.94 × 5,733.77
4. Step 4: Simplify right side
   10,449.59x = 82,680,518.61
5. Step 5: Solve for x
   x = 82,680,518.61/10,449.59
6. Step 6: Final answer
   x = 7,912.33