Finding the Fourth Proportional to 2,003.78, 3,005.12 and 771.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.78 : 3,005.12 = 771.24 : x
2. Step 2: Convert to fraction form
   2,003.78/3,005.12 = 771.24/x
3. Step 3: Cross multiply
   2,003.78x = 3,005.12 × 771.24
4. Step 4: Simplify right side
   2,003.78x = 2,317,668.75
5. Step 5: Solve for x
   x = 2,317,668.75/2,003.78
6. Step 6: Final answer
   x = 1,156.65