Finding the Fourth Proportional to 2,322.50, 3,205.46 and 1,327.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,322.50 : 3,205.46 = 1,327.82 : x
2. Step 2: Convert to fraction form
   2,322.50/3,205.46 = 1,327.82/x
3. Step 3: Cross multiply
   2,322.50x = 3,205.46 × 1,327.82
4. Step 4: Simplify right side
   2,322.50x = 4,256,267.26
5. Step 5: Solve for x
   x = 4,256,267.26/2,322.50
6. Step 6: Final answer
   x = 1,832.62