Finding the Fourth Proportional to 12,864.56, 19,298.20 and 4,097.42

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864.56 : 19,298.20 = 4,097.42 : x
2. Step 2: Convert to fraction form
   12,864.56/19,298.20 = 4,097.42/x
3. Step 3: Cross multiply
   12,864.56x = 19,298.20 × 4,097.42
4. Step 4: Simplify right side
   12,864.56x = 79,072,830.64
5. Step 5: Solve for x
   x = 79,072,830.64/12,864.56
6. Step 6: Final answer
   x = 6,146.56