Finding the Fourth Proportional to 2,309.34, 3,186.76 and 1,414.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,309.34 : 3,186.76 = 1,414.57 : x
2. Step 2: Convert to fraction form
   2,309.34/3,186.76 = 1,414.57/x
3. Step 3: Cross multiply
   2,309.34x = 3,186.76 × 1,414.57
4. Step 4: Simplify right side
   2,309.34x = 4,507,895.09
5. Step 5: Solve for x
   x = 4,507,895.09/2,309.34
6. Step 6: Final answer
   x = 1,952.03