Finding the Fourth Proportional to 2,082.98, 3,122.55 and 783.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.98 : 3,122.55 = 783.62 : x
2. Step 2: Convert to fraction form
   2,082.98/3,122.55 = 783.62/x
3. Step 3: Cross multiply
   2,082.98x = 3,122.55 × 783.62
4. Step 4: Simplify right side
   2,082.98x = 2,446,892.63
5. Step 5: Solve for x
   x = 2,446,892.63/2,082.98
6. Step 6: Final answer
   x = 1,174.71