Finding the Fourth Proportional to 1,684.15, 2,321.72 and 1,185.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,684.15 : 2,321.72 = 1,185.24 : x
2. Step 2: Convert to fraction form
   1,684.15/2,321.72 = 1,185.24/x
3. Step 3: Cross multiply
   1,684.15x = 2,321.72 × 1,185.24
4. Step 4: Simplify right side
   1,684.15x = 2,751,789.49
5. Step 5: Solve for x
   x = 2,751,789.49/1,684.15
6. Step 6: Final answer
   x = 1,633.93