Finding the Fourth Proportional to 12,896.64, 19,348.20 and 5,105.52

Step by Step Solution

1. Step 1: Write the proportion equation
   12,896.64 : 19,348.20 = 5,105.52 : x
2. Step 2: Convert to fraction form
   12,896.64/19,348.20 = 5,105.52/x
3. Step 3: Cross multiply
   12,896.64x = 19,348.20 × 5,105.52
4. Step 4: Simplify right side
   12,896.64x = 98,782,622.06
5. Step 5: Solve for x
   x = 98,782,622.06/12,896.64
6. Step 6: Final answer
   x = 7,659.56