Finding the Fourth Proportional to 11,856.42, 17,786.55 and 3,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,856.42 : 17,786.55 = 3,646.50 : x
2. Step 2: Convert to fraction form
   11,856.42/17,786.55 = 3,646.50/x
3. Step 3: Cross multiply
   11,856.42x = 17,786.55 × 3,646.50
4. Step 4: Simplify right side
   11,856.42x = 64,858,654.58
5. Step 5: Solve for x
   x = 64,858,654.58/11,856.42
6. Step 6: Final answer
   x = 5,470.34