Finding the Fourth Proportional to 11,646.72, 17,471.34 and 3,856.32

Step by Step Solution

1. Step 1: Write the proportion equation
   11,646.72 : 17,471.34 = 3,856.32 : x
2. Step 2: Convert to fraction form
   11,646.72/17,471.34 = 3,856.32/x
3. Step 3: Cross multiply
   11,646.72x = 17,471.34 × 3,856.32
4. Step 4: Simplify right side
   11,646.72x = 67,375,077.87
5. Step 5: Solve for x
   x = 67,375,077.87/11,646.72
6. Step 6: Final answer
   x = 5,784.90