Finding the Fourth Proportional to 3,814.50, 5,722.47 and 1,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,814.50 : 5,722.47 = 1,762.50 : x
2. Step 2: Convert to fraction form
   3,814.50/5,722.47 = 1,762.50/x
3. Step 3: Cross multiply
   3,814.50x = 5,722.47 × 1,762.50
4. Step 4: Simplify right side
   3,814.50x = 10,085,853.38
5. Step 5: Solve for x
   x = 10,085,853.38/3,814.50
6. Step 6: Final answer
   x = 2,644.08