Finding the Fourth Proportional to 2,005.37, 3,007.33 and 772.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.37 : 3,007.33 = 772.16 : x
2. Step 2: Convert to fraction form
   2,005.37/3,007.33 = 772.16/x
3. Step 3: Cross multiply
   2,005.37x = 3,007.33 × 772.16
4. Step 4: Simplify right side
   2,005.37x = 2,322,122.97
5. Step 5: Solve for x
   x = 2,322,122.97/2,005.37
6. Step 6: Final answer
   x = 1,157.96