Finding the Fourth Proportional to 10,419.77, 14,379.29 and 5,704.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.77 : 14,379.29 = 5,704.05 : x
2. Step 2: Convert to fraction form
   10,419.77/14,379.29 = 5,704.05/x
3. Step 3: Cross multiply
   10,419.77x = 14,379.29 × 5,704.05
4. Step 4: Simplify right side
   10,419.77x = 82,020,244.05
5. Step 5: Solve for x
   x = 82,020,244.05/10,419.77
6. Step 6: Final answer
   x = 7,871.60