Finding the Fourth Proportional to 13,105.67, 19,658.41 and 7,842.15

Step by Step Solution

1. Step 1: Write the proportion equation
   13,105.67 : 19,658.41 = 7,842.15 : x
2. Step 2: Convert to fraction form
   13,105.67/19,658.41 = 7,842.15/x
3. Step 3: Cross multiply
   13,105.67x = 19,658.41 × 7,842.15
4. Step 4: Simplify right side
   13,105.67x = 154,164,224.49
5. Step 5: Solve for x
   x = 154,164,224.49/13,105.67
6. Step 6: Final answer
   x = 11,763.17