Finding the Fourth Proportional to 2,082.70, 3,123.24 and 783.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.70 : 3,123.24 = 783.46 : x
2. Step 2: Convert to fraction form
   2,082.70/3,123.24 = 783.46/x
3. Step 3: Cross multiply
   2,082.70x = 3,123.24 × 783.46
4. Step 4: Simplify right side
   2,082.70x = 2,446,933.61
5. Step 5: Solve for x
   x = 2,446,933.61/2,082.70
6. Step 6: Final answer
   x = 1,174.89