Finding the Fourth Proportional to 2,005.25, 3,006.72 and 772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.25 : 3,006.72 = 772.50 : x
2. Step 2: Convert to fraction form
   2,005.25/3,006.72 = 772.50/x
3. Step 3: Cross multiply
   2,005.25x = 3,006.72 × 772.50
4. Step 4: Simplify right side
   2,005.25x = 2,322,676.06
5. Step 5: Solve for x
   x = 2,322,676.06/2,005.25
6. Step 6: Final answer
   x = 1,158.30