Finding the Fourth Proportional to 11,649.76, 17,470.86 and 3,856.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,649.76 : 17,470.86 = 3,856.75 : x
2. Step 2: Convert to fraction form
   11,649.76/17,470.86 = 3,856.75/x
3. Step 3: Cross multiply
   11,649.76x = 17,470.86 × 3,856.75
4. Step 4: Simplify right side
   11,649.76x = 67,380,739.31
5. Step 5: Solve for x
   x = 67,380,739.31/11,649.76
6. Step 6: Final answer
   x = 5,783.87