Finding the Fourth Proportional to 3,662.50, 5,054.25 and 2,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,662.50 : 5,054.25 = 2,006.50 : x
2. Step 2: Convert to fraction form
   3,662.50/5,054.25 = 2,006.50/x
3. Step 3: Cross multiply
   3,662.50x = 5,054.25 × 2,006.50
4. Step 4: Simplify right side
   3,662.50x = 10,141,352.63
5. Step 5: Solve for x
   x = 10,141,352.63/3,662.50
6. Step 6: Final answer
   x = 2,768.97