Finding the Fourth Proportional to 10,264.26, 14,166.02 and 5,789.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.26 : 14,166.02 = 5,789.41 : x
2. Step 2: Convert to fraction form
   10,264.26/14,166.02 = 5,789.41/x
3. Step 3: Cross multiply
   10,264.26x = 14,166.02 × 5,789.41
4. Step 4: Simplify right side
   10,264.26x = 82,012,897.85
5. Step 5: Solve for x
   x = 82,012,897.85/10,264.26
6. Step 6: Final answer
   x = 7,990.14