Finding the Fourth Proportional to 12,842.10, 17,717.94 and 7,538.22

Step by Step Solution

1. Step 1: Write the proportion equation
   12,842.10 : 17,717.94 = 7,538.22 : x
2. Step 2: Convert to fraction form
   12,842.10/17,717.94 = 7,538.22/x
3. Step 3: Cross multiply
   12,842.10x = 17,717.94 × 7,538.22
4. Step 4: Simplify right side
   12,842.10x = 133,561,729.67
5. Step 5: Solve for x
   x = 133,561,729.67/12,842.10
6. Step 6: Final answer
   x = 10,400.30