Finding the Fourth Proportional to 11,649, 17,471.74 and 3,856.84

Step by Step Solution

1. Step 1: Write the proportion equation
   11,649 : 17,471.74 = 3,856.84 : x
2. Step 2: Convert to fraction form
   11,649/17,471.74 = 3,856.84/x
3. Step 3: Cross multiply
   11,649x = 17,471.74 × 3,856.84
4. Step 4: Simplify right side
   11,649x = 67,385,705.70
5. Step 5: Solve for x
   x = 67,385,705.70/11,649
6. Step 6: Final answer
   x = 5,784.68