Finding the Fourth Proportional to 10,449.60, 14,419.95 and 5,733.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,449.60 : 14,419.95 = 5,733.78 : x
2. Step 2: Convert to fraction form
   10,449.60/14,419.95 = 5,733.78/x
3. Step 3: Cross multiply
   10,449.60x = 14,419.95 × 5,733.78
4. Step 4: Simplify right side
   10,449.60x = 82,680,820.91
5. Step 5: Solve for x
   x = 82,680,820.91/10,449.60
6. Step 6: Final answer
   x = 7,912.34