Finding the Fourth Proportional to 2,000.30, 2,991.47 and 1,782.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,000.30 : 2,991.47 = 1,782.27 : x
2. Step 2: Convert to fraction form
   2,000.30/2,991.47 = 1,782.27/x
3. Step 3: Cross multiply
   2,000.30x = 2,991.47 × 1,782.27
4. Step 4: Simplify right side
   2,000.30x = 5,331,598.33
5. Step 5: Solve for x
   x = 5,331,598.33/2,000.30
6. Step 6: Final answer
   x = 2,665.41