Finding the Fourth Proportional to 3,697.50, 5,102.55 and 2,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.50 : 5,102.55 = 2,041.50 : x
2. Step 2: Convert to fraction form
   3,697.50/5,102.55 = 2,041.50/x
3. Step 3: Cross multiply
   3,697.50x = 5,102.55 × 2,041.50
4. Step 4: Simplify right side
   3,697.50x = 10,416,855.83
5. Step 5: Solve for x
   x = 10,416,855.83/3,697.50
6. Step 6: Final answer
   x = 2,817.27