Finding the Fourth Proportional to 12,864.57, 19,293.51 and 5,465.22

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864.57 : 19,293.51 = 5,465.22 : x
2. Step 2: Convert to fraction form
   12,864.57/19,293.51 = 5,465.22/x
3. Step 3: Cross multiply
   12,864.57x = 19,293.51 × 5,465.22
4. Step 4: Simplify right side
   12,864.57x = 105,443,276.72
5. Step 5: Solve for x
   x = 105,443,276.72/12,864.57
6. Step 6: Final answer
   x = 8,196.41