Finding the Fourth Proportional to 10,429.36, 15,641.12 and 5,233.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.36 : 15,641.12 = 5,233.84 : x
2. Step 2: Convert to fraction form
   10,429.36/15,641.12 = 5,233.84/x
3. Step 3: Cross multiply
   10,429.36x = 15,641.12 × 5,233.84
4. Step 4: Simplify right side
   10,429.36x = 81,863,119.50
5. Step 5: Solve for x
   x = 81,863,119.50/10,429.36
6. Step 6: Final answer
   x = 7,849.29