Finding the Fourth Proportional to 1,786.22, 2,661.80 and 1,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,786.22 : 2,661.80 = 1,727.50 : x
2. Step 2: Convert to fraction form
   1,786.22/2,661.80 = 1,727.50/x
3. Step 3: Cross multiply
   1,786.22x = 2,661.80 × 1,727.50
4. Step 4: Simplify right side
   1,786.22x = 4,598,259.50
5. Step 5: Solve for x
   x = 4,598,259.50/1,786.22
6. Step 6: Final answer
   x = 2,574.30