Finding the Fourth Proportional to 1,852.72, 2,556.78 and 1,024.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,852.72 : 2,556.78 = 1,024.72 : x
2. Step 2: Convert to fraction form
   1,852.72/2,556.78 = 1,024.72/x
3. Step 3: Cross multiply
   1,852.72x = 2,556.78 × 1,024.72
4. Step 4: Simplify right side
   1,852.72x = 2,619,983.60
5. Step 5: Solve for x
   x = 2,619,983.60/1,852.72
6. Step 6: Final answer
   x = 1,414.13