Finding the Fourth Proportional to 4,082.69, 5,633.95 and 2,314.37

Step by Step Solution

1. Step 1: Write the proportion equation
   4,082.69 : 5,633.95 = 2,314.37 : x
2. Step 2: Convert to fraction form
   4,082.69/5,633.95 = 2,314.37/x
3. Step 3: Cross multiply
   4,082.69x = 5,633.95 × 2,314.37
4. Step 4: Simplify right side
   4,082.69x = 13,039,044.86
5. Step 5: Solve for x
   x = 13,039,044.86/4,082.69
6. Step 6: Final answer
   x = 3,193.74