Finding the Fourth Proportional to 12,759.67, 19,128.52 and 5,638.51

Step by Step Solution

1. Step 1: Write the proportion equation
   12,759.67 : 19,128.52 = 5,638.51 : x
2. Step 2: Convert to fraction form
   12,759.67/19,128.52 = 5,638.51/x
3. Step 3: Cross multiply
   12,759.67x = 19,128.52 × 5,638.51
4. Step 4: Simplify right side
   12,759.67x = 107,856,351.31
5. Step 5: Solve for x
   x = 107,856,351.31/12,759.67
6. Step 6: Final answer
   x = 8,452.91