Finding the Fourth Proportional to 3,736.56, 5,155.68 and 2,557.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,736.56 : 5,155.68 = 2,557.20 : x
2. Step 2: Convert to fraction form
   3,736.56/5,155.68 = 2,557.20/x
3. Step 3: Cross multiply
   3,736.56x = 5,155.68 × 2,557.20
4. Step 4: Simplify right side
   3,736.56x = 13,184,104.90
5. Step 5: Solve for x
   x = 13,184,104.90/3,736.56
6. Step 6: Final answer
   x = 3,528.41