Finding the Fourth Proportional to 10,123.50, 15,190.11 and 5,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,123.50 : 15,190.11 = 5,506.50 : x
2. Step 2: Convert to fraction form
   10,123.50/15,190.11 = 5,506.50/x
3. Step 3: Cross multiply
   10,123.50x = 15,190.11 × 5,506.50
4. Step 4: Simplify right side
   10,123.50x = 83,644,340.72
5. Step 5: Solve for x
   x = 83,644,340.72/10,123.50
6. Step 6: Final answer
   x = 8,262.39