Finding the Fourth Proportional to 2,306.56, 3,185.76 and 1,524.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,306.56 : 3,185.76 = 1,524.16 : x
2. Step 2: Convert to fraction form
   2,306.56/3,185.76 = 1,524.16/x
3. Step 3: Cross multiply
   2,306.56x = 3,185.76 × 1,524.16
4. Step 4: Simplify right side
   2,306.56x = 4,855,607.96
5. Step 5: Solve for x
   x = 4,855,607.96/2,306.56
6. Step 6: Final answer
   x = 2,105.13