Finding the Fourth Proportional to 3,747.56, 5,166.78 and 2,566.60

Step by Step Solution

1. Step 1: Write the proportion equation
   3,747.56 : 5,166.78 = 2,566.60 : x
2. Step 2: Convert to fraction form
   3,747.56/5,166.78 = 2,566.60/x
3. Step 3: Cross multiply
   3,747.56x = 5,166.78 × 2,566.60
4. Step 4: Simplify right side
   3,747.56x = 13,261,057.55
5. Step 5: Solve for x
   x = 13,261,057.55/3,747.56
6. Step 6: Final answer
   x = 3,538.58