Finding the Fourth Proportional to 10,433.24, 15,641.73 and 5,164.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,433.24 : 15,641.73 = 5,164.61 : x
2. Step 2: Convert to fraction form
   10,433.24/15,641.73 = 5,164.61/x
3. Step 3: Cross multiply
   10,433.24x = 15,641.73 × 5,164.61
4. Step 4: Simplify right side
   10,433.24x = 80,783,435.18
5. Step 5: Solve for x
   x = 80,783,435.18/10,433.24
6. Step 6: Final answer
   x = 7,742.89