Finding the Fourth Proportional to 1,786.35, 2,465.37 and 1,188.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,786.35 : 2,465.37 = 1,188.81 : x
2. Step 2: Convert to fraction form
   1,786.35/2,465.37 = 1,188.81/x
3. Step 3: Cross multiply
   1,786.35x = 2,465.37 × 1,188.81
4. Step 4: Simplify right side
   1,786.35x = 2,930,856.51
5. Step 5: Solve for x
   x = 2,930,856.51/1,786.35
6. Step 6: Final answer
   x = 1,640.69