Finding the Fourth Proportional to 2,407.25, 3,322.57 and 1,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407.25 : 3,322.57 = 1,566.50 : x
2. Step 2: Convert to fraction form
   2,407.25/3,322.57 = 1,566.50/x
3. Step 3: Cross multiply
   2,407.25x = 3,322.57 × 1,566.50
4. Step 4: Simplify right side
   2,407.25x = 5,204,805.91
5. Step 5: Solve for x
   x = 5,204,805.91/2,407.25
6. Step 6: Final answer
   x = 2,162.14