Finding the Fourth Proportional to 10,419.78, 14,379.12 and 5,704.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.78 : 14,379.12 = 5,704.08 : x
2. Step 2: Convert to fraction form
   10,419.78/14,379.12 = 5,704.08/x
3. Step 3: Cross multiply
   10,419.78x = 14,379.12 × 5,704.08
4. Step 4: Simplify right side
   10,419.78x = 82,019,650.81
5. Step 5: Solve for x
   x = 82,019,650.81/10,419.78
6. Step 6: Final answer
   x = 7,871.53