Finding the Fourth Proportional to 2,003.94, 3,005.00 and 771.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.94 : 3,005.00 = 771.32 : x
2. Step 2: Convert to fraction form
   2,003.94/3,005.00 = 771.32/x
3. Step 3: Cross multiply
   2,003.94x = 3,005.00 × 771.32
4. Step 4: Simplify right side
   2,003.94x = 2,317,823.15
5. Step 5: Solve for x
   x = 2,317,823.15/2,003.94
6. Step 6: Final answer
   x = 1,156.63