Finding the Fourth Proportional to 2,004.72, 3,006.24 and 771.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.72 : 3,006.24 = 771.88 : x
2. Step 2: Convert to fraction form
   2,004.72/3,006.24 = 771.88/x
3. Step 3: Cross multiply
   2,004.72x = 3,006.24 × 771.88
4. Step 4: Simplify right side
   2,004.72x = 2,320,456.53
5. Step 5: Solve for x
   x = 2,320,456.53/2,004.72
6. Step 6: Final answer
   x = 1,157.50