Finding the Fourth Proportional to 12,782.09, 17,634.72 and 7,401.59

Step by Step Solution

1. Step 1: Write the proportion equation
   12,782.09 : 17,634.72 = 7,401.59 : x
2. Step 2: Convert to fraction form
   12,782.09/17,634.72 = 7,401.59/x
3. Step 3: Cross multiply
   12,782.09x = 17,634.72 × 7,401.59
4. Step 4: Simplify right side
   12,782.09x = 130,524,967.20
5. Step 5: Solve for x
   x = 130,524,967.20/12,782.09
6. Step 6: Final answer
   x = 10,211.55