Finding the Fourth Proportional to 11,861.50, 17,791.71 and 3,096.22

Step by Step Solution

1. Step 1: Write the proportion equation
   11,861.50 : 17,791.71 = 3,096.22 : x
2. Step 2: Convert to fraction form
   11,861.50/17,791.71 = 3,096.22/x
3. Step 3: Cross multiply
   11,861.50x = 17,791.71 × 3,096.22
4. Step 4: Simplify right side
   11,861.50x = 55,087,048.34
5. Step 5: Solve for x
   x = 55,087,048.34/11,861.50
6. Step 6: Final answer
   x = 4,644.19