Finding the Fourth Proportional to 2,552.64, 3,829.68 and 1,014.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.64 : 3,829.68 = 1,014.72 : x
2. Step 2: Convert to fraction form
   2,552.64/3,829.68 = 1,014.72/x
3. Step 3: Cross multiply
   2,552.64x = 3,829.68 × 1,014.72
4. Step 4: Simplify right side
   2,552.64x = 3,886,052.89
5. Step 5: Solve for x
   x = 3,886,052.89/2,552.64
6. Step 6: Final answer
   x = 1,522.37