Finding the Fourth Proportional to 2,000.25, 2,980.50 and 1,782.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,000.25 : 2,980.50 = 1,782.15 : x
2. Step 2: Convert to fraction form
   2,000.25/2,980.50 = 1,782.15/x
3. Step 3: Cross multiply
   2,000.25x = 2,980.50 × 1,782.15
4. Step 4: Simplify right side
   2,000.25x = 5,311,698.08
5. Step 5: Solve for x
   x = 5,311,698.08/2,000.25
6. Step 6: Final answer
   x = 2,655.52