Finding the Fourth Proportional to 2,057.67, 2,820.54 and 2,029.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.67 : 2,820.54 = 2,029.98 : x
2. Step 2: Convert to fraction form
   2,057.67/2,820.54 = 2,029.98/x
3. Step 3: Cross multiply
   2,057.67x = 2,820.54 × 2,029.98
4. Step 4: Simplify right side
   2,057.67x = 5,725,629.64
5. Step 5: Solve for x
   x = 5,725,629.64/2,057.67
6. Step 6: Final answer
   x = 2,782.59