Finding the Fourth Proportional to 2,082.12, 3,123.63 and 783.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.12 : 3,123.63 = 783.59 : x
2. Step 2: Convert to fraction form
   2,082.12/3,123.63 = 783.59/x
3. Step 3: Cross multiply
   2,082.12x = 3,123.63 × 783.59
4. Step 4: Simplify right side
   2,082.12x = 2,447,629.61
5. Step 5: Solve for x
   x = 2,447,629.61/2,082.12
6. Step 6: Final answer
   x = 1,175.55