Finding the Fourth Proportional to 10,290.85, 14,201.91 and 5,814.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,290.85 : 14,201.91 = 5,814.79 : x
2. Step 2: Convert to fraction form
   10,290.85/14,201.91 = 5,814.79/x
3. Step 3: Cross multiply
   10,290.85x = 14,201.91 × 5,814.79
4. Step 4: Simplify right side
   10,290.85x = 82,581,124.25
5. Step 5: Solve for x
   x = 82,581,124.25/10,290.85
6. Step 6: Final answer
   x = 8,024.71