Finding the Fourth Proportional to 2,053.40, 3,080.00 and 820.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.40 : 3,080.00 = 820.47 : x
2. Step 2: Convert to fraction form
   2,053.40/3,080.00 = 820.47/x
3. Step 3: Cross multiply
   2,053.40x = 3,080.00 × 820.47
4. Step 4: Simplify right side
   2,053.40x = 2,527,043.50
5. Step 5: Solve for x
   x = 2,527,043.50/2,053.40
6. Step 6: Final answer
   x = 1,230.67