Finding the Fourth Proportional to 2,577.60, 3,864.84 and 1,016.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.60 : 3,864.84 = 1,016.46 : x
2. Step 2: Convert to fraction form
   2,577.60/3,864.84 = 1,016.46/x
3. Step 3: Cross multiply
   2,577.60x = 3,864.84 × 1,016.46
4. Step 4: Simplify right side
   2,577.60x = 3,928,455.27
5. Step 5: Solve for x
   x = 3,928,455.27/2,577.60
6. Step 6: Final answer
   x = 1,524.07