Finding the Fourth Proportional to 2,147.46, 2,965.17 and 1,649.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,147.46 : 2,965.17 = 1,649.31 : x
2. Step 2: Convert to fraction form
   2,147.46/2,965.17 = 1,649.31/x
3. Step 3: Cross multiply
   2,147.46x = 2,965.17 × 1,649.31
4. Step 4: Simplify right side
   2,147.46x = 4,890,484.53
5. Step 5: Solve for x
   x = 4,890,484.53/2,147.46
6. Step 6: Final answer
   x = 2,277.33