Finding the Fourth Proportional to 4,082.61, 5,634.06 and 2,314.18

Step by Step Solution

1. Step 1: Write the proportion equation
   4,082.61 : 5,634.06 = 2,314.18 : x
2. Step 2: Convert to fraction form
   4,082.61/5,634.06 = 2,314.18/x
3. Step 3: Cross multiply
   4,082.61x = 5,634.06 × 2,314.18
4. Step 4: Simplify right side
   4,082.61x = 13,038,200.80
5. Step 5: Solve for x
   x = 13,038,200.80/4,082.61
6. Step 6: Final answer
   x = 3,193.60