Finding the Fourth Proportional to 2,003.96, 3,005.24 and 770.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.96 : 3,005.24 = 770.72 : x
2. Step 2: Convert to fraction form
   2,003.96/3,005.24 = 770.72/x
3. Step 3: Cross multiply
   2,003.96x = 3,005.24 × 770.72
4. Step 4: Simplify right side
   2,003.96x = 2,316,198.57
5. Step 5: Solve for x
   x = 2,316,198.57/2,003.96
6. Step 6: Final answer
   x = 1,155.81