Finding the Fourth Proportional to 10,419.63, 14,379.09 and 5,704.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.63 : 14,379.09 = 5,704.01 : x
2. Step 2: Convert to fraction form
   10,419.63/14,379.09 = 5,704.01/x
3. Step 3: Cross multiply
   10,419.63x = 14,379.09 × 5,704.01
4. Step 4: Simplify right side
   10,419.63x = 82,018,473.15
5. Step 5: Solve for x
   x = 82,018,473.15/10,419.63
6. Step 6: Final answer
   x = 7,871.53