Finding the Fourth Proportional to 2,052.33, 3,080.72 and 820.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,052.33 : 3,080.72 = 820.59 : x
2. Step 2: Convert to fraction form
   2,052.33/3,080.72 = 820.59/x
3. Step 3: Cross multiply
   2,052.33x = 3,080.72 × 820.59
4. Step 4: Simplify right side
   2,052.33x = 2,528,008.02
5. Step 5: Solve for x
   x = 2,528,008.02/2,052.33
6. Step 6: Final answer
   x = 1,231.77