Finding the Fourth Proportional to 1,377.80, 1,900.42 and 1,082.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.80 : 1,900.42 = 1,082.55 : x
2. Step 2: Convert to fraction form
   1,377.80/1,900.42 = 1,082.55/x
3. Step 3: Cross multiply
   1,377.80x = 1,900.42 × 1,082.55
4. Step 4: Simplify right side
   1,377.80x = 2,057,299.67
5. Step 5: Solve for x
   x = 2,057,299.67/1,377.80
6. Step 6: Final answer
   x = 1,493.18