Finding the Fourth Proportional to 12,922.40, 17,832.24 and 7,256.42

Step by Step Solution

1. Step 1: Write the proportion equation
   12,922.40 : 17,832.24 = 7,256.42 : x
2. Step 2: Convert to fraction form
   12,922.40/17,832.24 = 7,256.42/x
3. Step 3: Cross multiply
   12,922.40x = 17,832.24 × 7,256.42
4. Step 4: Simplify right side
   12,922.40x = 129,398,222.98
5. Step 5: Solve for x
   x = 129,398,222.98/12,922.40
6. Step 6: Final answer
   x = 10,013.48