Finding the Fourth Proportional to 10,290.84, 14,201.92 and 5,814.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,290.84 : 14,201.92 = 5,814.78 : x
2. Step 2: Convert to fraction form
   10,290.84/14,201.92 = 5,814.78/x
3. Step 3: Cross multiply
   10,290.84x = 14,201.92 × 5,814.78
4. Step 4: Simplify right side
   10,290.84x = 82,581,040.38
5. Step 5: Solve for x
   x = 82,581,040.38/10,290.84
6. Step 6: Final answer
   x = 8,024.71