Finding the Fourth Proportional to 2,082.27, 3,121.98 and 782.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.27 : 3,121.98 = 782.63 : x
2. Step 2: Convert to fraction form
   2,082.27/3,121.98 = 782.63/x
3. Step 3: Cross multiply
   2,082.27x = 3,121.98 × 782.63
4. Step 4: Simplify right side
   2,082.27x = 2,443,339.60
5. Step 5: Solve for x
   x = 2,443,339.60/2,082.27
6. Step 6: Final answer
   x = 1,173.40