Finding the Fourth Proportional to 1,786.56, 2,662.50 and 1,742.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,786.56 : 2,662.50 = 1,742.82 : x
2. Step 2: Convert to fraction form
   1,786.56/2,662.50 = 1,742.82/x
3. Step 3: Cross multiply
   1,786.56x = 2,662.50 × 1,742.82
4. Step 4: Simplify right side
   1,786.56x = 4,640,258.25
5. Step 5: Solve for x
   x = 4,640,258.25/1,786.56
6. Step 6: Final answer
   x = 2,597.31