Finding the Fourth Proportional to 12,854.59, 19,284.72 and 5,465.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,854.59 : 19,284.72 = 5,465.38 : x
2. Step 2: Convert to fraction form
   12,854.59/19,284.72 = 5,465.38/x
3. Step 3: Cross multiply
   12,854.59x = 19,284.72 × 5,465.38
4. Step 4: Simplify right side
   12,854.59x = 105,398,322.99
5. Step 5: Solve for x
   x = 105,398,322.99/12,854.59
6. Step 6: Final answer
   x = 8,199.28