Finding the Fourth Proportional to 2,081.46, 3,121.88 and 782.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.46 : 3,121.88 = 782.63 : x
2. Step 2: Convert to fraction form
   2,081.46/3,121.88 = 782.63/x
3. Step 3: Cross multiply
   2,081.46x = 3,121.88 × 782.63
4. Step 4: Simplify right side
   2,081.46x = 2,443,257.42
5. Step 5: Solve for x
   x = 2,443,257.42/2,081.46
6. Step 6: Final answer
   x = 1,173.82