Finding the Fourth Proportional to 2,303.64, 3,456.18 and 765.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,303.64 : 3,456.18 = 765.72 : x
2. Step 2: Convert to fraction form
   2,303.64/3,456.18 = 765.72/x
3. Step 3: Cross multiply
   2,303.64x = 3,456.18 × 765.72
4. Step 4: Simplify right side
   2,303.64x = 2,646,466.15
5. Step 5: Solve for x
   x = 2,646,466.15/2,303.64
6. Step 6: Final answer
   x = 1,148.82