Finding the Fourth Proportional to 5,111.37, 7,668.61 and 1,824.73

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.37 : 7,668.61 = 1,824.73 : x
2. Step 2: Convert to fraction form
   5,111.37/7,668.61 = 1,824.73/x
3. Step 3: Cross multiply
   5,111.37x = 7,668.61 × 1,824.73
4. Step 4: Simplify right side
   5,111.37x = 13,993,118.99
5. Step 5: Solve for x
   x = 13,993,118.99/5,111.37
6. Step 6: Final answer
   x = 2,737.65