Finding the Fourth Proportional to 2,003.72, 3,005.60 and 771.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.72 : 3,005.60 = 771.53 : x
2. Step 2: Convert to fraction form
   2,003.72/3,005.60 = 771.53/x
3. Step 3: Cross multiply
   2,003.72x = 3,005.60 × 771.53
4. Step 4: Simplify right side
   2,003.72x = 2,318,891.68
5. Step 5: Solve for x
   x = 2,318,891.68/2,003.72
6. Step 6: Final answer
   x = 1,157.30