Finding the Fourth Proportional to 10,434.85, 14,400 and 5,719.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434.85 : 14,400 = 5,719.15 : x
2. Step 2: Convert to fraction form
   10,434.85/14,400 = 5,719.15/x
3. Step 3: Cross multiply
   10,434.85x = 14,400 × 5,719.15
4. Step 4: Simplify right side
   10,434.85x = 82,355,760
5. Step 5: Solve for x
   x = 82,355,760/10,434.85
6. Step 6: Final answer
   x = 7,892.38