Finding the Fourth Proportional to 3,155.72, 4,733.82 and 964.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,155.72 : 4,733.82 = 964.61 : x
2. Step 2: Convert to fraction form
   3,155.72/4,733.82 = 964.61/x
3. Step 3: Cross multiply
   3,155.72x = 4,733.82 × 964.61
4. Step 4: Simplify right side
   3,155.72x = 4,566,290.11
5. Step 5: Solve for x
   x = 4,566,290.11/3,155.72
6. Step 6: Final answer
   x = 1,446.99