Finding the Fourth Proportional to 2,309.24, 3,186.42 and 1,424.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,309.24 : 3,186.42 = 1,424.06 : x
2. Step 2: Convert to fraction form
   2,309.24/3,186.42 = 1,424.06/x
3. Step 3: Cross multiply
   2,309.24x = 3,186.42 × 1,424.06
4. Step 4: Simplify right side
   2,309.24x = 4,537,653.27
5. Step 5: Solve for x
   x = 4,537,653.27/2,309.24
6. Step 6: Final answer
   x = 1,965.00