Finding the Fourth Proportional to 2,053.80, 3,082.05 and 1,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.80 : 3,082.05 = 1,014.50 : x
2. Step 2: Convert to fraction form
   2,053.80/3,082.05 = 1,014.50/x
3. Step 3: Cross multiply
   2,053.80x = 3,082.05 × 1,014.50
4. Step 4: Simplify right side
   2,053.80x = 3,126,739.73
5. Step 5: Solve for x
   x = 3,126,739.73/2,053.80
6. Step 6: Final answer
   x = 1,522.42