Finding the Fourth Proportional to 10,264.81, 14,158.69 and 7,078.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.81 : 14,158.69 = 7,078.24 : x
2. Step 2: Convert to fraction form
   10,264.81/14,158.69 = 7,078.24/x
3. Step 3: Cross multiply
   10,264.81x = 14,158.69 × 7,078.24
4. Step 4: Simplify right side
   10,264.81x = 100,218,605.91
5. Step 5: Solve for x
   x = 100,218,605.91/10,264.81
6. Step 6: Final answer
   x = 9,763.32