Finding the Fourth Proportional to 10,419, 14,378.24 and 5,703.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419 : 14,378.24 = 5,703.29 : x
2. Step 2: Convert to fraction form
   10,419/14,378.24 = 5,703.29/x
3. Step 3: Cross multiply
   10,419x = 14,378.24 × 5,703.29
4. Step 4: Simplify right side
   10,419x = 82,003,172.00
5. Step 5: Solve for x
   x = 82,003,172.00/10,419
6. Step 6: Final answer
   x = 7,870.54