Finding the Fourth Proportional to 1,785.32, 2,456.82 and 1,646.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,785.32 : 2,456.82 = 1,646.81 : x
2. Step 2: Convert to fraction form
   1,785.32/2,456.82 = 1,646.81/x
3. Step 3: Cross multiply
   1,785.32x = 2,456.82 × 1,646.81
4. Step 4: Simplify right side
   1,785.32x = 4,045,921.89
5. Step 5: Solve for x
   x = 4,045,921.89/1,785.32
6. Step 6: Final answer
   x = 2,266.21