Finding the Fourth Proportional to 2,053.69, 3,080.54 and 514.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.69 : 3,080.54 = 514.69 : x
2. Step 2: Convert to fraction form
   2,053.69/3,080.54 = 514.69/x
3. Step 3: Cross multiply
   2,053.69x = 3,080.54 × 514.69
4. Step 4: Simplify right side
   2,053.69x = 1,585,516.72
5. Step 5: Solve for x
   x = 1,585,516.72/2,053.69
6. Step 6: Final answer
   x = 772.03