Finding the Fourth Proportional to 2,003.58, 3,004.97 and 771.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.58 : 3,004.97 = 771.17 : x
2. Step 2: Convert to fraction form
   2,003.58/3,004.97 = 771.17/x
3. Step 3: Cross multiply
   2,003.58x = 3,004.97 × 771.17
4. Step 4: Simplify right side
   2,003.58x = 2,317,323.83
5. Step 5: Solve for x
   x = 2,317,323.83/2,003.58
6. Step 6: Final answer
   x = 1,156.59