Finding the Fourth Proportional to 6,662.50, 9,194.12 and 3,678.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,662.50 : 9,194.12 = 3,678.27 : x
2. Step 2: Convert to fraction form
   6,662.50/9,194.12 = 3,678.27/x
3. Step 3: Cross multiply
   6,662.50x = 9,194.12 × 3,678.27
4. Step 4: Simplify right side
   6,662.50x = 33,818,437.39
5. Step 5: Solve for x
   x = 33,818,437.39/6,662.50
6. Step 6: Final answer
   x = 5,075.94