Finding the Fourth Proportional to 12,864.42, 19,296.50 and 4,100.09

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864.42 : 19,296.50 = 4,100.09 : x
2. Step 2: Convert to fraction form
   12,864.42/19,296.50 = 4,100.09/x
3. Step 3: Cross multiply
   12,864.42x = 19,296.50 × 4,100.09
4. Step 4: Simplify right side
   12,864.42x = 79,117,269.70
5. Step 5: Solve for x
   x = 79,117,269.70/12,864.42
6. Step 6: Final answer
   x = 6,150.08