Finding the Fourth Proportional to 2,384.32, 3,577.76 and 1,016

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384.32 : 3,577.76 = 1,016 : x
2. Step 2: Convert to fraction form
   2,384.32/3,577.76 = 1,016/x
3. Step 3: Cross multiply
   2,384.32x = 3,577.76 × 1,016
4. Step 4: Simplify right side
   2,384.32x = 3,635,004.16
5. Step 5: Solve for x
   x = 3,635,004.16/2,384.32
6. Step 6: Final answer
   x = 1,524.55