Finding the Fourth Proportional to 2,614.24, 3,922.26 and 1,314.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614.24 : 3,922.26 = 1,314.64 : x
2. Step 2: Convert to fraction form
   2,614.24/3,922.26 = 1,314.64/x
3. Step 3: Cross multiply
   2,614.24x = 3,922.26 × 1,314.64
4. Step 4: Simplify right side
   2,614.24x = 5,156,359.89
5. Step 5: Solve for x
   x = 5,156,359.89/2,614.24
6. Step 6: Final answer
   x = 1,972.41