Finding the Fourth Proportional to 2,006.50, 2,997.56 and 1,678.45

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.50 : 2,997.56 = 1,678.45 : x
2. Step 2: Convert to fraction form
   2,006.50/2,997.56 = 1,678.45/x
3. Step 3: Cross multiply
   2,006.50x = 2,997.56 × 1,678.45
4. Step 4: Simplify right side
   2,006.50x = 5,031,254.58
5. Step 5: Solve for x
   x = 5,031,254.58/2,006.50
6. Step 6: Final answer
   x = 2,507.48