Finding the Fourth Proportional to 10,291.80, 15,434.94 and 5,096.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,291.80 : 15,434.94 = 5,096.28 : x
2. Step 2: Convert to fraction form
   10,291.80/15,434.94 = 5,096.28/x
3. Step 3: Cross multiply
   10,291.80x = 15,434.94 × 5,096.28
4. Step 4: Simplify right side
   10,291.80x = 78,660,776.02
5. Step 5: Solve for x
   x = 78,660,776.02/10,291.80
6. Step 6: Final answer
   x = 7,643.05