Finding the Fourth Proportional to 10,266.48, 14,165.91 and 5,790.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,266.48 : 14,165.91 = 5,790.42 : x
2. Step 2: Convert to fraction form
   10,266.48/14,165.91 = 5,790.42/x
3. Step 3: Cross multiply
   10,266.48x = 14,165.91 × 5,790.42
4. Step 4: Simplify right side
   10,266.48x = 82,026,568.58
5. Step 5: Solve for x
   x = 82,026,568.58/10,266.48
6. Step 6: Final answer
   x = 7,989.75