Finding the Fourth Proportional to 2,147.96, 2,965.86 and 1,649.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,147.96 : 2,965.86 = 1,649.81 : x
2. Step 2: Convert to fraction form
   2,147.96/2,965.86 = 1,649.81/x
3. Step 3: Cross multiply
   2,147.96x = 2,965.86 × 1,649.81
4. Step 4: Simplify right side
   2,147.96x = 4,893,105.49
5. Step 5: Solve for x
   x = 4,893,105.49/2,147.96
6. Step 6: Final answer
   x = 2,278.02