Finding the Fourth Proportional to 2,665.57, 3,678.50 and 1,470.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.57 : 3,678.50 = 1,470.60 : x
2. Step 2: Convert to fraction form
   2,665.57/3,678.50 = 1,470.60/x
3. Step 3: Cross multiply
   2,665.57x = 3,678.50 × 1,470.60
4. Step 4: Simplify right side
   2,665.57x = 5,409,605.78
5. Step 5: Solve for x
   x = 5,409,605.78/2,665.57
6. Step 6: Final answer
   x = 2,029.44