Finding the Fourth Proportional to 2,029.30, 3,037.55 and 1,965.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,029.30 : 3,037.55 = 1,965.30 : x
2. Step 2: Convert to fraction form
   2,029.30/3,037.55 = 1,965.30/x
3. Step 3: Cross multiply
   2,029.30x = 3,037.55 × 1,965.30
4. Step 4: Simplify right side
   2,029.30x = 5,969,697.02
5. Step 5: Solve for x
   x = 5,969,697.02/2,029.30
6. Step 6: Final answer
   x = 2,941.75