Finding the Fourth Proportional to 10,419.78, 14,379.30 and 5,704.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.78 : 14,379.30 = 5,704.36 : x
2. Step 2: Convert to fraction form
   10,419.78/14,379.30 = 5,704.36/x
3. Step 3: Cross multiply
   10,419.78x = 14,379.30 × 5,704.36
4. Step 4: Simplify right side
   10,419.78x = 82,024,703.75
5. Step 5: Solve for x
   x = 82,024,703.75/10,419.78
6. Step 6: Final answer
   x = 7,872.02