Finding the Fourth Proportional to 2,321.82, 3,200.40 and 1,823.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,321.82 : 3,200.40 = 1,823.67 : x
2. Step 2: Convert to fraction form
   2,321.82/3,200.40 = 1,823.67/x
3. Step 3: Cross multiply
   2,321.82x = 3,200.40 × 1,823.67
4. Step 4: Simplify right side
   2,321.82x = 5,836,473.47
5. Step 5: Solve for x
   x = 5,836,473.47/2,321.82
6. Step 6: Final answer
   x = 2,513.75