Finding the Fourth Proportional to 10,420.39, 14,380.16 and 5,704.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.39 : 14,380.16 = 5,704.98 : x
2. Step 2: Convert to fraction form
   10,420.39/14,380.16 = 5,704.98/x
3. Step 3: Cross multiply
   10,420.39x = 14,380.16 × 5,704.98
4. Step 4: Simplify right side
   10,420.39x = 82,038,525.20
5. Step 5: Solve for x
   x = 82,038,525.20/10,420.39
6. Step 6: Final answer
   x = 7,872.88