Finding the Fourth Proportional to 2,082.09, 3,123.60 and 783.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.09 : 3,123.60 = 783.57 : x
2. Step 2: Convert to fraction form
   2,082.09/3,123.60 = 783.57/x
3. Step 3: Cross multiply
   2,082.09x = 3,123.60 × 783.57
4. Step 4: Simplify right side
   2,082.09x = 2,447,559.25
5. Step 5: Solve for x
   x = 2,447,559.25/2,082.09
6. Step 6: Final answer
   x = 1,175.53