Finding the Fourth Proportional to 12,854.22, 19,284.17 and 5,465

Step by Step Solution

1. Step 1: Write the proportion equation
   12,854.22 : 19,284.17 = 5,465 : x
2. Step 2: Convert to fraction form
   12,854.22/19,284.17 = 5,465/x
3. Step 3: Cross multiply
   12,854.22x = 19,284.17 × 5,465
4. Step 4: Simplify right side
   12,854.22x = 105,387,989.05
5. Step 5: Solve for x
   x = 105,387,989.05/12,854.22
6. Step 6: Final answer
   x = 8,198.71