Finding the Fourth Proportional to 10,419.80, 14,379.30 and 5,704.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.80 : 14,379.30 = 5,704.04 : x
2. Step 2: Convert to fraction form
   10,419.80/14,379.30 = 5,704.04/x
3. Step 3: Cross multiply
   10,419.80x = 14,379.30 × 5,704.04
4. Step 4: Simplify right side
   10,419.80x = 82,020,102.37
5. Step 5: Solve for x
   x = 82,020,102.37/10,419.80
6. Step 6: Final answer
   x = 7,871.56