Finding the Fourth Proportional to 10,834.41, 16,257.63 and 5,287.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,834.41 : 16,257.63 = 5,287.80 : x
2. Step 2: Convert to fraction form
   10,834.41/16,257.63 = 5,287.80/x
3. Step 3: Cross multiply
   10,834.41x = 16,257.63 × 5,287.80
4. Step 4: Simplify right side
   10,834.41x = 85,967,095.91
5. Step 5: Solve for x
   x = 85,967,095.91/10,834.41
6. Step 6: Final answer
   x = 7,934.64