Finding the Fourth Proportional to 2,004.32, 3,005.72 and 771.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.32 : 3,005.72 = 771.07 : x
2. Step 2: Convert to fraction form
   2,004.32/3,005.72 = 771.07/x
3. Step 3: Cross multiply
   2,004.32x = 3,005.72 × 771.07
4. Step 4: Simplify right side
   2,004.32x = 2,317,601.64
5. Step 5: Solve for x
   x = 2,317,601.64/2,004.32
6. Step 6: Final answer
   x = 1,156.30