Finding the Fourth Proportional to 2,602.56, 3,904.96 and 1,449.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602.56 : 3,904.96 = 1,449.12 : x
2. Step 2: Convert to fraction form
   2,602.56/3,904.96 = 1,449.12/x
3. Step 3: Cross multiply
   2,602.56x = 3,904.96 × 1,449.12
4. Step 4: Simplify right side
   2,602.56x = 5,658,755.64
5. Step 5: Solve for x
   x = 5,658,755.64/2,602.56
6. Step 6: Final answer
   x = 2,174.30