Finding the Fourth Proportional to 2,362.32, 3,258.42 and 1,565.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,362.32 : 3,258.42 = 1,565.64 : x
2. Step 2: Convert to fraction form
   2,362.32/3,258.42 = 1,565.64/x
3. Step 3: Cross multiply
   2,362.32x = 3,258.42 × 1,565.64
4. Step 4: Simplify right side
   2,362.32x = 5,101,512.69
5. Step 5: Solve for x
   x = 5,101,512.69/2,362.32
6. Step 6: Final answer
   x = 2,159.53