Finding the Fourth Proportional to 2,538.56, 3,503.76 and 1,606.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.56 : 3,503.76 = 1,606.88 : x
2. Step 2: Convert to fraction form
   2,538.56/3,503.76 = 1,606.88/x
3. Step 3: Cross multiply
   2,538.56x = 3,503.76 × 1,606.88
4. Step 4: Simplify right side
   2,538.56x = 5,630,121.87
5. Step 5: Solve for x
   x = 5,630,121.87/2,538.56
6. Step 6: Final answer
   x = 2,217.84