Finding the Fourth Proportional to 2,322.45, 3,206.10 and 1,566.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,322.45 : 3,206.10 = 1,566.42 : x
2. Step 2: Convert to fraction form
   2,322.45/3,206.10 = 1,566.42/x
3. Step 3: Cross multiply
   2,322.45x = 3,206.10 × 1,566.42
4. Step 4: Simplify right side
   2,322.45x = 5,022,099.16
5. Step 5: Solve for x
   x = 5,022,099.16/2,322.45
6. Step 6: Final answer
   x = 2,162.41