Finding the Fourth Proportional to 10,685, 16,025.52 and 2,892.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,685 : 16,025.52 = 2,892.80 : x
2. Step 2: Convert to fraction form
   10,685/16,025.52 = 2,892.80/x
3. Step 3: Cross multiply
   10,685x = 16,025.52 × 2,892.80
4. Step 4: Simplify right side
   10,685x = 46,358,624.26
5. Step 5: Solve for x
   x = 46,358,624.26/10,685
6. Step 6: Final answer
   x = 4,338.66