Finding the Fourth Proportional to 3,748.56, 5,168.16 and 2,567.60

Step by Step Solution

1. Step 1: Write the proportion equation
   3,748.56 : 5,168.16 = 2,567.60 : x
2. Step 2: Convert to fraction form
   3,748.56/5,168.16 = 2,567.60/x
3. Step 3: Cross multiply
   3,748.56x = 5,168.16 × 2,567.60
4. Step 4: Simplify right side
   3,748.56x = 13,269,767.62
5. Step 5: Solve for x
   x = 13,269,767.62/3,748.56
6. Step 6: Final answer
   x = 3,539.96