Finding the Fourth Proportional to 1,982.47, 2,730.23 and 1,647.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,982.47 : 2,730.23 = 1,647.86 : x
2. Step 2: Convert to fraction form
   1,982.47/2,730.23 = 1,647.86/x
3. Step 3: Cross multiply
   1,982.47x = 2,730.23 × 1,647.86
4. Step 4: Simplify right side
   1,982.47x = 4,499,031.34
5. Step 5: Solve for x
   x = 4,499,031.34/1,982.47
6. Step 6: Final answer
   x = 2,269.41