Finding the Fourth Proportional to 1,271.86, 1,752.78 and 1,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271.86 : 1,752.78 = 1,019.50 : x
2. Step 2: Convert to fraction form
   1,271.86/1,752.78 = 1,019.50/x
3. Step 3: Cross multiply
   1,271.86x = 1,752.78 × 1,019.50
4. Step 4: Simplify right side
   1,271.86x = 1,786,959.21
5. Step 5: Solve for x
   x = 1,786,959.21/1,271.86
6. Step 6: Final answer
   x = 1,405.00