Finding the Fourth Proportional to 10,419.24, 14,378.59 and 5,703.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.24 : 14,378.59 = 5,703.96 : x
2. Step 2: Convert to fraction form
   10,419.24/14,378.59 = 5,703.96/x
3. Step 3: Cross multiply
   10,419.24x = 14,378.59 × 5,703.96
4. Step 4: Simplify right side
   10,419.24x = 82,014,902.22
5. Step 5: Solve for x
   x = 82,014,902.22/10,419.24
6. Step 6: Final answer
   x = 7,871.49