Finding the Fourth Proportional to 3,111.64, 4,293.84 and 1,785.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,111.64 : 4,293.84 = 1,785.31 : x
2. Step 2: Convert to fraction form
   3,111.64/4,293.84 = 1,785.31/x
3. Step 3: Cross multiply
   3,111.64x = 4,293.84 × 1,785.31
4. Step 4: Simplify right side
   3,111.64x = 7,665,835.49
5. Step 5: Solve for x
   x = 7,665,835.49/3,111.64
6. Step 6: Final answer
   x = 2,463.60